* using log directory 'd:/Rcompile/CRANpkg/local/4.1/fsemipar.Rcheck' * using R version 4.1.3 (2022-03-10) * using platform: x86_64-w64-mingw32 (64-bit) * using session charset: ISO8859-1 * checking for file 'fsemipar/DESCRIPTION' ... OK * checking extension type ... Package * this is package 'fsemipar' version '1.0' * checking package namespace information ... OK * checking package dependencies ... OK * checking if this is a source package ... OK * checking if there is a namespace ... OK * checking for hidden files and directories ... OK * checking for portable file names ... OK * checking whether package 'fsemipar' can be installed ... OK * checking installed package size ... OK * checking package directory ... OK * checking DESCRIPTION meta-information ... OK * checking top-level files ... OK * checking for left-over files ... OK * checking index information ... OK * checking package subdirectories ... OK * checking R files for non-ASCII characters ... OK * checking R files for syntax errors ... OK * checking whether the package can be loaded ... OK * checking whether the package can be loaded with stated dependencies ... OK * checking whether the package can be unloaded cleanly ... OK * checking whether the namespace can be loaded with stated dependencies ... OK * checking whether the namespace can be unloaded cleanly ... OK * checking loading without being on the library search path ... OK * checking use of S3 registration ... OK * checking dependencies in R code ... OK * checking S3 generic/method consistency ... OK * checking replacement functions ... OK * checking foreign function calls ... OK * checking R code for possible problems ... [29s] OK * checking Rd files ... [3s] OK * checking Rd metadata ... OK * checking Rd cross-references ... OK * checking for missing documentation entries ... OK * checking for code/documentation mismatches ... OK * checking Rd \usage sections ... OK * checking Rd contents ... OK * checking for unstated dependencies in examples ... OK * checking contents of 'data' directory ... OK * checking data for non-ASCII characters ... OK * checking data for ASCII and uncompressed saves ... OK * checking examples ... [16s] OK * checking PDF version of manual ... WARNING LaTeX errors when creating PDF version. This typically indicates Rd problems. LaTeX errors found: ! Undefined control sequence. \pmb l.271 ...(\beta_{01},\dots,\beta_{0p_n})^{\top}}{} is a vector of unknown re... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}}=\left \{\zeta \left (t_k^{\pmb {1}}\ri... l.285 }{} ! Undefined control sequence. ...{1}}=\left \{\zeta \left (t_k^{\pmb {1}}\right ),\ \ k=1,\dots... l.285 }{} ! Undefined control sequence. t_k^{\pmb {1}}=t_{\left [(2k-1)q_n/2\right ]} l.286 ...{\pmb{1}}=t_{\left[(2k-1)q_n/2\right]}}{} and \eqn{\left[z\right]}... ! Undefined control sequence. z\in \mathbb {R} l.286 ...ger not less than \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.288 ...onging to \eqn{\mathcal{R}_n^{\pmb{1}}}{} : ! Undefined control sequence. ...=\sum _{k=1}^{w_n}\beta _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}... l.291 }{} ! Undefined control sequence. ... _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\... l.291 }{} ! Undefined control sequence. ...1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\left <\theta _... l.291 }{} ! Undefined control sequence. ...b {1}}\left (\left <\theta _0^{\pmb {1}},\mathcal {X}_i\right ... l.291 }{} ! Undefined control sequence. ...ight >\right )+\varepsilon _i^{\pmb {1}}. l.291 }{} ! LaTeX Error: Environment aligned undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... ! Misplaced alignment tab character &. q_{n,k}= \left \{\begin {aligned} & [p_n/w_n]+1& \quad k\in \{1,\... l.302 }{} ! Misplaced alignment tab character &. ...eft \{\begin {aligned} &[p_n/w_n]+1& \quad k\in \{1,\dots ,p_n... l.302 }{} ! Misplaced alignment tab character &. & l.302 }{} ! Misplaced alignment tab character &. ...s ,p_n-w_n[p_n/w_n]\},\\ &[p_n/w_n]& \quad k\in \{p_n-w_n[p_n/w... l.302 }{} ! LaTeX Error: \begin{list} on input line 264 ended by \end{aligned}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... ! Undefined control sequence. z\in \mathbb {R} l.303 ...he integer part of \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. \hat {\pmb {\beta }} l.312 ...code{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i. e. estimate of \eqn{\... ! Undefined control sequence. \pmb l.312 ... (i. e. estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. \beta _0^{\pmb {1}} l.313 ...d}] Estimate of \eqn{\beta_0^{\pmb{1}}}{} in the reduced model when... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.317 ...size for \eqn{\mathcal{R}_n^{\pmb{1}}}{} . ! Undefined control sequence. \beta _0^{\pmb {1}} l.321 ...w}] Estimate of \eqn{\beta_0^{\pmb{1}}}{} for each value of the se... ! Undefined control sequence. \theta _0^{\pmb {1}} l.322 ...}] Estimate of \eqn{\theta_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.327 ...to build \eqn{\mathcal{R}_n^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \pmb l.504 ...(\beta_{01},\dots,\beta_{0p_n})^{\top}}{} is a vector of unknown re... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}}=\left \{\zeta \left (t_k^{\pmb {1}}\ri... l.518 }{} ! Undefined control sequence. ...{1}}=\left \{\zeta \left (t_k^{\pmb {1}}\right ),\ \ k=1,\dots... l.518 }{} ! Undefined control sequence. t_k^{\pmb {1}}=t_{\left [(2k-1)q_n/2\right ]} l.519 ...{\pmb{1}}=t_{\left[(2k-1)q_n/2\right]}}{} and \eqn{\left[z\right]}... ! Undefined control sequence. z\in \mathbb {R} l.519 ...ger not less than \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.521 ...onging to \eqn{\mathcal{R}_n^{\pmb{1}}}{} : ! Undefined control sequence. ...=\sum _{k=1}^{w_n}\beta _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}... l.524 }{} ! Undefined control sequence. ... _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\... l.524 }{} ! Undefined control sequence. ...1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\left <\theta _... l.524 }{} ! Undefined control sequence. ...b {1}}\left (\left <\theta _0^{\pmb {1}},\mathcal {X}_i\right ... l.524 }{} ! Undefined control sequence. ...ight >\right )+\varepsilon _i^{\pmb {1}}. l.524 }{} ! LaTeX Error: Environment aligned undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... ! Misplaced alignment tab character &. q_{n,k}= \left \{\begin {aligned} & [p_n/w_n]+1& \quad k\in \{1,\... l.535 }{} ! Misplaced alignment tab character &. ...eft \{\begin {aligned} &[p_n/w_n]+1& \quad k\in \{1,\dots ,p_n... l.535 }{} ! Misplaced alignment tab character &. & l.535 }{} ! Misplaced alignment tab character &. ...s ,p_n-w_n[p_n/w_n]\},\\ &[p_n/w_n]& \quad k\in \{p_n-w_n[p_n/w... l.535 }{} ! LaTeX Error: \begin{list} on input line 497 ended by \end{aligned}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... ! Undefined control sequence. z\in \mathbb {R} l.536 ...he integer part of \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. \hat {\pmb {\beta }} l.545 ...code{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i. e. estimate of \eqn{\... ! Undefined control sequence. \pmb l.545 ... (i. e. estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. \beta _0^{\pmb {1}} l.546 ...d}] Estimate of \eqn{\beta_0^{\pmb{1}}}{} in the reduced model when... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.550 ...size for \eqn{\mathcal{R}_n^{\pmb{1}}}{} . ! Undefined control sequence. \beta _0^{\pmb {1}} l.554 ...w}] Estimate of \eqn{\beta_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \theta _0^{\pmb {1}} l.555 ...}] Estimate of \eqn{\theta_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.560 ...to build \eqn{\mathcal{R}_n^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. h\in \mathbb {R}^+ l.738 \item{} \eqn{h\in \mathbb{R}^+}{} is the bandwidth. ! Undefined control sequence. k\in \mathbb {Z}^+ l.1011 \item{} \eqn{k\in \mathbb{Z}^+}{} is a smoothing factor (the number o... ! Undefined control sequence. ...\hat {\theta }}=\min \{h\in \mathbb {R}^+ \text { such that } ... l.1017 ...}^n1_{B_{\hat{\theta}}(x,h)}(X_i)=k\}}{} , where \eqn{1_{B_{\hat{\t... ! Undefined control sequence. ... }}=\min \{h\in \mathbb {R}^+ \text { such that } \sum _{i=1}^... l.1017 ...}^n1_{B_{\hat{\theta}}(x,h)}(X_i)=k\}}{} , where \eqn{1_{B_{\hat{\t... ! Undefined control sequence. ...,\theta }=\min \left \{h\in \mathbb {R}^+ \text { such that } ... l.1156 ...}^n1_{B_{\theta}(x,h)}(X_i)=k\right\}}{} , where \eqn{1_{B_{\theta}... ! Undefined control sequence. ...in \left \{h\in \mathbb {R}^+ \text { such that } \sum _{i=1}^... l.1156 ...}^n1_{B_{\theta}(x,h)}(X_i)=k\right\}}{} , where \eqn{1_{B_{\theta}... ! Undefined control sequence. \pmb l.1338 ...\beta_{01},\dots,\beta_{0p_n})^{\top}}{} is a vector of unknown re... ! Undefined control sequence. \mathcal {E}^{\pmb {1}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.1348 }{} ! Undefined control sequence. \mathcal {E}^{\pmb {2}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.1351 }{} ! Undefined control sequence. \pmb l.1353 The superscript \eqn{\pmb{s}}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} ... ! Undefined control sequence. \pmb l.1353 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \pmb {s}=\pmb {1},\pmb {2} l.1353 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \pmb {s}=\pmb {1},\pmb {2} l.1353 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \mathcal {E}^{\pmb {1}} l.1358 ... subsample \eqn{\mathcal{E}^{\pmb{1}}}{} (see the documentation of... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}}=\left \{\zeta \left (t_k^{\pmb {1}}\ri... l.1364 }{} ! Undefined control sequence. ...{1}}=\left \{\zeta \left (t_k^{\pmb {1}}\right ),\ \ k=1,\dots... l.1364 }{} ! Undefined control sequence. t_k^{\pmb {1}}=t_{\left [(2k-1)q_n/2\right ]} l.1365 ...\pmb{1}}=t_{\left[(2k-1)q_n/2\right]}}{} and \eqn{\left[z\right]}... ! Undefined control sequence. z\in \mathbb {R} l.1365 ...er not less than \eqn{z\in\mathbb{R}}{} .The size (cardinal) of th... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.1367 ...nging to \eqn{\mathcal{R}_n^{\pmb{1}}}{} : ! Undefined control sequence. ...=\sum _{k=1}^{w_n}\beta _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}... l.1370 }{} ! Undefined control sequence. ... _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\... l.1370 }{} ! Undefined control sequence. ...1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\left <\theta _... l.1370 }{} ! Undefined control sequence. ...b {1}}\left (\left <\theta _0^{\pmb {1}},X_i\right >\right )+\... l.1370 }{} ! Undefined control sequence. ...ight >\right )+\varepsilon _i^{\pmb {1}}. l.1370 }{} ! Undefined control sequence. \mathcal {E}^{\pmb {2}} l.1376 ... subsample \eqn{\mathcal{E}^{\pmb{2}}}{} . Specifically: ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}}=\bigcup _{\left \{k,\widehat {\beta }_... l.1382 }{} ! Undefined control sequence. ...ft \{k,\widehat {\beta }_{0k}^{\pmb {1}}\not =0\right \}}\left... l.1382 }{} ! Undefined control sequence. r_n=\sharp (\mathcal {R}_n^{\pmb {2}}) l.1383 ...n{r_n=\sharp(\mathcal{R}_n^{\pmb{2}})}{} , we can rename the variab... ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.1383 ...ables in \eqn{\mathcal{R}_n^{\pmb{2}}}{} as follows: ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,... l.1386 }{} ! Undefined control sequence. ...{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,\zeta (t_{r_n... l.1386 }{} ! Undefined control sequence. ...b {2}}),\dots ,\zeta (t_{r_n}^{\pmb {2}})\right \}, l.1386 }{} ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.1387 ...nging to \eqn{\mathcal{R}_n^{\pmb{2}}}{} ! Undefined control sequence. ...=\sum _{k=1}^{r_n}\beta _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}... l.1389 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ... _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}})+r^{\pmb {2}}\left (\... l.1389 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ...2}}\zeta _i(t_k^{\pmb {2}})+r^{\pmb {2}}\left (\left <\theta _... l.1389 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ...b {2}}\left (\left <\theta _0^{\pmb {2}},X_i\right >\right )+\... l.1389 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ...ight >\right )+\varepsilon _i^{\pmb {2}}. l.1389 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! LaTeX Error: Environment aligned undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... ! Misplaced alignment tab character &. q_{n,k}= \left \{\begin {aligned} & [p_n/w_n]+1& \quad k\in \{1,\... l.1406 }{} ! Misplaced alignment tab character &. ...eft \{\begin {aligned} &[p_n/w_n]+1& \quad k\in \{1,\dots ,p_n... l.1406 }{} ! Misplaced alignment tab character &. & l.1406 }{} ! Misplaced alignment tab character &. ...s ,p_n-w_n[p_n/w_n]\},\\ &[p_n/w_n]& \quad k\in \{p_n-w_n[p_n/w... l.1406 }{} ! LaTeX Error: \begin{list} on input line 1331 ended by \end{aligned}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... ! Undefined control sequence. z\in \mathbb {R} l.1407 ...e integer part of \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. \hat {\pmb {\beta }} l.1416 ...ode{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i. e. estimate of \eqn{\... ! Undefined control sequence. \pmb l.1416 ...(i. e. estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.1420 ...ize for \eqn{\mathcal{R}_n^{\pmb{1}}}{} . ! Undefined control sequence. \pmb l.1424 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \pmb {\beta }_0^{\pmb {2}} l.1424 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \theta _0^{\pmb {2}} l.1425 ...] Estimate of \eqn{\theta_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.1430 ...to build \eqn{\mathcal{R}_n^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \pmb l.1431 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \pmb {\beta }_0^{\pmb {1}} l.1431 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \theta _0^{\pmb {1}} l.1432 ...] Estimate of \eqn{\theta_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.1436 ...to build \eqn{\mathcal{R}_n^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \pmb l.1616 ...\beta_{01},\dots,\beta_{0p_n})^{\top}}{} is a vector of unknown re... ! Undefined control sequence. \mathcal {E}^{\pmb {1}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.1626 }{} ! Undefined control sequence. \mathcal {E}^{\pmb {2}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.1629 }{} ! Undefined control sequence. \pmb l.1631 The superscript \eqn{\pmb{s}}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} ... ! Undefined control sequence. \pmb l.1631 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \pmb {s}=\pmb {1},\pmb {2} l.1631 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \pmb {s}=\pmb {1},\pmb {2} l.1631 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \mathcal {E}^{\pmb {1}} l.1636 ... subsample \eqn{\mathcal{E}^{\pmb{1}}}{} (see the documentation of... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}}=\left \{\zeta \left (t_k^{\pmb {1}}\ri... l.1642 }{} ! Undefined control sequence. ...{1}}=\left \{\zeta \left (t_k^{\pmb {1}}\right ),\ \ k=1,\dots... l.1642 }{} ! Undefined control sequence. t_k^{\pmb {1}}=t_{\left [(2k-1)q_n/2\right ]} l.1643 ...\pmb{1}}=t_{\left[(2k-1)q_n/2\right]}}{} and \eqn{\left[z\right]}... ! Undefined control sequence. z\in \mathbb {R} l.1643 ...er not less than \eqn{z\in\mathbb{R}}{} .The size (cardinal) of th... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.1645 ...nging to \eqn{\mathcal{R}_n^{\pmb{1}}}{} : ! Undefined control sequence. ...=\sum _{k=1}^{w_n}\beta _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}... l.1648 }{} ! Undefined control sequence. ... _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\... l.1648 }{} ! Undefined control sequence. ...1}}\zeta _i(t_k^{\pmb {1}})+r^{\pmb {1}}\left (\left <\theta _... l.1648 }{} ! Undefined control sequence. ...b {1}}\left (\left <\theta _0^{\pmb {1}},X_i\right >\right )+\... l.1648 }{} ! Undefined control sequence. ...ight >\right )+\varepsilon _i^{\pmb {1}}. l.1648 }{} ! Undefined control sequence. \mathcal {E}^{\pmb {2}} l.1654 ... subsample \eqn{\mathcal{E}^{\pmb{2}}}{} . Specifically: ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}}=\bigcup _{\left \{k,\widehat {\beta }_... l.1660 }{} ! Undefined control sequence. ...ft \{k,\widehat {\beta }_{0k}^{\pmb {1}}\not =0\right \}}\left... l.1660 }{} ! Undefined control sequence. r_n=\sharp (\mathcal {R}_n^{\pmb {2}}) l.1661 ...n{r_n=\sharp(\mathcal{R}_n^{\pmb{2}})}{} , we can rename the variab... ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.1661 ...ables in \eqn{\mathcal{R}_n^{\pmb{2}}}{} as follows: ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,... l.1664 }{} ! Undefined control sequence. ...{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,\zeta (t_{r_n... l.1664 }{} ! Undefined control sequence. ...b {2}}),\dots ,\zeta (t_{r_n}^{\pmb {2}})\right \}, l.1664 }{} ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.1665 ...nging to \eqn{\mathcal{R}_n^{\pmb{2}}}{} ! Undefined control sequence. ...=\sum _{k=1}^{r_n}\beta _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}... l.1667 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ... _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}})+r^{\pmb {2}}\left (\... l.1667 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ...2}}\zeta _i(t_k^{\pmb {2}})+r^{\pmb {2}}\left (\left <\theta _... l.1667 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ...b {2}}\left (\left <\theta _0^{\pmb {2}},X_i\right >\right )+\... l.1667 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ...ight >\right )+\varepsilon _i^{\pmb {2}}. l.1667 ...ight>\right)+\varepsilon_i^{\pmb{2}}.}{} ! LaTeX Error: Environment aligned undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... ! Misplaced alignment tab character &. q_{n,k}= \left \{\begin {aligned} & [p_n/w_n]+1& \quad k\in \{1,\... l.1684 }{} ! Misplaced alignment tab character &. ...eft \{\begin {aligned} &[p_n/w_n]+1& \quad k\in \{1,\dots ,p_n... l.1684 }{} ! Misplaced alignment tab character &. & l.1684 }{} ! Misplaced alignment tab character &. ...s ,p_n-w_n[p_n/w_n]\},\\ &[p_n/w_n]& \quad k\in \{p_n-w_n[p_n/w... l.1684 }{} ! LaTeX Error: \begin{list} on input line 1609 ended by \end{aligned}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... ! Undefined control sequence. z\in \mathbb {R} l.1685 ...e integer part of \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. \hat {\pmb {\beta }} l.1696 ...ode{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i.e. estimate of \eqn{\p... ! Undefined control sequence. \pmb l.1696 ... (i.e. estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. \pmb l.1704 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \pmb {\beta }_0^{\pmb {2}} l.1704 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \theta _0^{\pmb {2}} l.1705 ...] Estimate of \eqn{\theta_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.1710 ...to build \eqn{\mathcal{R}_n^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \pmb l.1711 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \pmb {\beta }_0^{\pmb {1}} l.1711 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \theta _0^{\pmb {1}} l.1712 ...] Estimate of \eqn{\theta_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.1716 ...to build \eqn{\mathcal{R}_n^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \mathbb l.1852 ...ates taking values in \eqn{\mathbb{R}}{} . In this equation, \eqn{\... ! Undefined control sequence. \pmb l.1852 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} is a vector of unknown re... ! Undefined control sequence. ...,\beta _{0p_n})^{\top } \in \mathbb {R}^{p_n} l.1852 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} is a vector of unknown re... ! Undefined control sequence. \mathcal {Q}\left (\pmb {\beta }\right )=\frac {1}{2}\left (\pmb... l.1857 }{} ! Undefined control sequence. ...a }\right )=\frac {1}{2}\left (\pmb {Y}-\pmb {Z}\pmb {\beta }\... l.1857 }{} ! Undefined control sequence. ... )=\frac {1}{2}\left (\pmb {Y}-\pmb {Z}\pmb {\beta }\right )^{... l.1857 }{} ! Undefined control sequence. ... {1}{2}\left (\pmb {Y}-\pmb {Z}\pmb {\beta }\right )^{\top }\l... l.1857 }{} ! Undefined control sequence. ...{\beta }\right )^{\top }\left (\pmb {Y}-\pmb {Z}\pmb {\beta }\... l.1857 }{} ! Undefined control sequence. ...right )^{\top }\left (\pmb {Y}-\pmb {Z}\pmb {\beta }\right )+n... l.1857 }{} ! Undefined control sequence. ...{\top }\left (\pmb {Y}-\pmb {Z}\pmb {\beta }\right )+n\sum _{j... l.1857 }{} ! Undefined control sequence. \pmb l.1859 ...{P}_{\lambda_{j_n}}\left(\cdot\right)}{} is a penalty function (sp... ! Undefined control sequence. \pmb l.3354 ...\beta_{01},\dots,\beta_{0p_n})^{\top}}{} is a vector of unknown re... ! Undefined control sequence. \mathcal {E}^{\pmb {1}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.3364 }{} ! Undefined control sequence. \mathcal {E}^{\pmb {2}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.3367 }{} ! Undefined control sequence. \pmb l.3369 The superscript \eqn{\pmb{s}}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} ... ! Undefined control sequence. \pmb l.3369 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \pmb {s}=\pmb {1},\pmb {2} l.3369 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \pmb {s}=\pmb {1},\pmb {2} l.3369 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \mathcal {E}^{\pmb {1}} l.3374 ... subsample \eqn{\mathcal{E}^{\pmb{1}}}{} . Specifically: ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}}=\left \{\zeta \left (t_k^{\pmb {1}}\ri... l.3380 }{} ! Undefined control sequence. ...{1}}=\left \{\zeta \left (t_k^{\pmb {1}}\right ),\ \ k=1,\dots... l.3380 }{} ! Undefined control sequence. t_k^{\pmb {1}}=t_{\left [(2k-1)q_n/2\right ]} l.3381 ...\pmb{1}}=t_{\left[(2k-1)q_n/2\right]}}{} and \eqn{\left[z\right]}... ! Undefined control sequence. z\in \mathbb {R} l.3381 ...er not less than \eqn{z\in\mathbb{R}}{} .The size (cardinal) of th... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.3383 ...nging to \eqn{\mathcal{R}_n^{\pmb{1}}}{} : ! Undefined control sequence. ...=\sum _{k=1}^{w_n}\beta _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}... l.3386 }{} ! Undefined control sequence. ... _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}})+\varepsilon _i^{\pmb... l.3386 }{} ! Undefined control sequence. ..._k^{\pmb {1}})+\varepsilon _i^{\pmb {1}}. l.3386 }{} ! Undefined control sequence. \mathcal {E}^{\pmb {2}} l.3392 ... subsample \eqn{\mathcal{E}^{\pmb{2}}}{} . Specifically: ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}}=\bigcup _{\left \{k,\widehat {\beta }_... l.3398 }{} ! Undefined control sequence. ...ft \{k,\widehat {\beta }_{0k}^{\pmb {1}}\not =0\right \}}\left... l.3398 }{} ! Undefined control sequence. r_n=\sharp (\mathcal {R}_n^{\pmb {2}}) l.3399 ...n{r_n=\sharp(\mathcal{R}_n^{\pmb{2}})}{} , we can rename the variab... ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.3399 ...ables in \eqn{\mathcal{R}_n^{\pmb{2}}}{} as follows: ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,... l.3402 }{} ! Undefined control sequence. ...{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,\zeta (t_{r_n... l.3402 }{} ! Undefined control sequence. ...b {2}}),\dots ,\zeta (t_{r_n}^{\pmb {2}})\right \}, l.3402 }{} ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.3403 ...nging to \eqn{\mathcal{R}_n^{\pmb{2}}}{} ! Undefined control sequence. ...=\sum _{k=1}^{r_n}\beta _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}... l.3405 ...k^{\pmb{2}})+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ... _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}})+\varepsilon _i^{\pmb... l.3405 ...k^{\pmb{2}})+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ..._k^{\pmb {2}})+\varepsilon _i^{\pmb {2}}. l.3405 ...k^{\pmb{2}})+\varepsilon_i^{\pmb{2}}.}{} ! LaTeX Error: Environment aligned undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... ! Misplaced alignment tab character &. q_{n,k}= \left \{\begin {aligned} & [p_n/w_n]+1& \quad k\in \{1,\... l.3422 }{} ! Misplaced alignment tab character &. ...eft \{\begin {aligned} &[p_n/w_n]+1& \quad k\in \{1,\dots ,p_n... l.3422 }{} ! Misplaced alignment tab character &. & l.3422 }{} ! Misplaced alignment tab character &. ...s ,p_n-w_n[p_n/w_n]\},\\ &[p_n/w_n]& \quad k\in \{p_n-w_n[p_n/w... l.3422 }{} ! LaTeX Error: \begin{list} on input line 3347 ended by \end{aligned}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... ! Undefined control sequence. z\in \mathbb {R} l.3423 ...e integer part of \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. \hat {\pmb {\beta }} l.3432 ...ode{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i. e. estimate of \eqn{\... ! Undefined control sequence. \pmb l.3432 ...(i. e. estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.3434 ...ize for \eqn{\mathcal{R}_n^{\pmb{1}}}{} . ! Undefined control sequence. \pmb l.3437 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \pmb {\beta }_0^{\pmb {2}} l.3437 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.3441 ...to build \eqn{\mathcal{R}_n^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \pmb l.3442 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \pmb {\beta }_0^{\pmb {1}} l.3442 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.3445 ...to build \eqn{\mathcal{R}_n^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \pmb l.3607 ...\beta_{01},\dots,\beta_{0p_n})^{\top}}{} is a vector of unknown re... ! Undefined control sequence. \mathcal {E}^{\pmb {1}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.3617 }{} ! Undefined control sequence. \mathcal {E}^{\pmb {2}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.3620 }{} ! Undefined control sequence. \pmb l.3622 The superscript \eqn{\pmb{s}}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} ... ! Undefined control sequence. \pmb l.3622 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \pmb {s}=\pmb {1},\pmb {2} l.3622 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \pmb {s}=\pmb {1},\pmb {2} l.3622 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \mathcal {E}^{\pmb {1}} l.3627 ... subsample \eqn{\mathcal{E}^{\pmb{1}}}{} . Specifically: ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}}=\left \{\zeta \left (t_k^{\pmb {1}}\ri... l.3633 }{} ! Undefined control sequence. ...{1}}=\left \{\zeta \left (t_k^{\pmb {1}}\right ),\ \ k=1,\dots... l.3633 }{} ! Undefined control sequence. t_k^{\pmb {1}}=t_{\left [(2k-1)q_n/2\right ]} l.3634 ...\pmb{1}}=t_{\left[(2k-1)q_n/2\right]}}{} and \eqn{\left[z\right]}... ! Undefined control sequence. z\in \mathbb {R} l.3634 ...er not less than \eqn{z\in\mathbb{R}}{} .The size (cardinal) of th... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.3636 ...nging to \eqn{\mathcal{R}_n^{\pmb{1}}}{} : ! Undefined control sequence. ...=\sum _{k=1}^{w_n}\beta _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}... l.3639 }{} ! Undefined control sequence. ... _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}})+m^{\pmb {1}}\left (X... l.3639 }{} ! Undefined control sequence. ...1}}\zeta _i(t_k^{\pmb {1}})+m^{\pmb {1}}\left (X_i\right )+\va... l.3639 }{} ! Undefined control sequence. ...t (X_i\right )+\varepsilon _i^{\pmb {1}}. l.3639 }{} ! Undefined control sequence. \mathcal {E}^{\pmb {2}} l.3645 ... subsample \eqn{\mathcal{E}^{\pmb{2}}}{} . Specifically: ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}}=\bigcup _{\left \{k,\widehat {\beta }_... l.3651 }{} ! Undefined control sequence. ...ft \{k,\widehat {\beta }_{0k}^{\pmb {1}}\not =0\right \}}\left... l.3651 }{} ! Undefined control sequence. r_n=\sharp (\mathcal {R}_n^{\pmb {2}}) l.3652 ...n{r_n=\sharp(\mathcal{R}_n^{\pmb{2}})}{} , we can rename the variab... ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.3652 ...ables in \eqn{\mathcal{R}_n^{\pmb{2}}}{} as follows: ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,... l.3655 }{} ! Undefined control sequence. ...{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,\zeta (t_{r_n... l.3655 }{} ! Undefined control sequence. ...b {2}}),\dots ,\zeta (t_{r_n}^{\pmb {2}})\right \}, l.3655 }{} ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.3656 ...nging to \eqn{\mathcal{R}_n^{\pmb{2}}}{} ! Undefined control sequence. ...=\sum _{k=1}^{r_n}\beta _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}... l.3658 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ... _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}})+m^{\pmb {2}}\left (X... l.3658 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ...2}}\zeta _i(t_k^{\pmb {2}})+m^{\pmb {2}}\left (X_i\right )+\va... l.3658 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ...t (X_i\right )+\varepsilon _i^{\pmb {2}}. l.3658 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! LaTeX Error: Environment aligned undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... ! Misplaced alignment tab character &. q_{n,k}= \left \{\begin {aligned} & [p_n/w_n]+1& \quad k\in \{1,\... l.3675 }{} ! Misplaced alignment tab character &. ...eft \{\begin {aligned} &[p_n/w_n]+1& \quad k\in \{1,\dots ,p_n... l.3675 }{} ! Misplaced alignment tab character &. & l.3675 }{} ! Misplaced alignment tab character &. ...s ,p_n-w_n[p_n/w_n]\},\\ &[p_n/w_n]& \quad k\in \{p_n-w_n[p_n/w... l.3675 }{} ! LaTeX Error: \begin{list} on input line 3600 ended by \end{aligned}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... ! Undefined control sequence. z\in \mathbb {R} l.3676 ...e integer part of \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. \hat {\pmb {\beta }} l.3685 ...ode{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i. e. estimate of \eqn{\... ! Undefined control sequence. \pmb l.3685 ...(i. e. estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.3688 ...ize for \eqn{\mathcal{R}_n^{\pmb{1}}}{} . ! Undefined control sequence. \pmb l.3692 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \pmb {\beta }_0^{\pmb {2}} l.3692 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.3697 ...to build \eqn{\mathcal{R}_n^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \pmb l.3698 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \pmb {\beta }_0^{\pmb {1}} l.3698 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.3702 ...to build \eqn{\mathcal{R}_n^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \pmb l.3875 ...\beta_{01},\dots,\beta_{0p_n})^{\top}}{} is a vector of unknown re... ! Undefined control sequence. \mathcal {E}^{\pmb {1}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.3885 }{} ! Undefined control sequence. \mathcal {E}^{\pmb {2}}=\{(\zeta _i,\mathcal {X}_i,Y_i),\quad i=... l.3888 }{} ! Undefined control sequence. \pmb l.3890 The superscript \eqn{\pmb{s}}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} ... ! Undefined control sequence. \pmb l.3890 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \pmb {s}=\pmb {1},\pmb {2} l.3890 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \pmb {s}=\pmb {1},\pmb {2} l.3890 ...}{} with \eqn{\pmb{s}=\pmb{1},\pmb{2}}{} indicates the stage of th... ! Undefined control sequence. \mathcal {E}^{\pmb {1}} l.3895 ... subsample \eqn{\mathcal{E}^{\pmb{1}}}{} . Specifically: ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}}=\left \{\zeta \left (t_k^{\pmb {1}}\ri... l.3901 }{} ! Undefined control sequence. ...{1}}=\left \{\zeta \left (t_k^{\pmb {1}}\right ),\ \ k=1,\dots... l.3901 }{} ! Undefined control sequence. t_k^{\pmb {1}}=t_{\left [(2k-1)q_n/2\right ]} l.3902 ...\pmb{1}}=t_{\left[(2k-1)q_n/2\right]}}{} and \eqn{\left[z\right]}... ! Undefined control sequence. z\in \mathbb {R} l.3902 ...er not less than \eqn{z\in\mathbb{R}}{} .The size (cardinal) of th... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.3904 ...nging to \eqn{\mathcal{R}_n^{\pmb{1}}}{} : ! Undefined control sequence. ...=\sum _{k=1}^{w_n}\beta _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}... l.3907 }{} ! Undefined control sequence. ... _{0k}^{\pmb {1}}\zeta _i(t_k^{\pmb {1}})+m^{\pmb {1}}\left (X... l.3907 }{} ! Undefined control sequence. ...1}}\zeta _i(t_k^{\pmb {1}})+m^{\pmb {1}}\left (X_i\right )+\va... l.3907 }{} ! Undefined control sequence. ...t (X_i\right )+\varepsilon _i^{\pmb {1}}. l.3907 }{} ! Undefined control sequence. \mathcal {E}^{\pmb {2}} l.3913 ... subsample \eqn{\mathcal{E}^{\pmb{2}}}{} . Specifically: ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}}=\bigcup _{\left \{k,\widehat {\beta }_... l.3919 }{} ! Undefined control sequence. ...ft \{k,\widehat {\beta }_{0k}^{\pmb {1}}\not =0\right \}}\left... l.3919 }{} ! Undefined control sequence. r_n=\sharp (\mathcal {R}_n^{\pmb {2}}) l.3920 ...n{r_n=\sharp(\mathcal{R}_n^{\pmb{2}})}{} , we can rename the variab... ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.3920 ...ables in \eqn{\mathcal{R}_n^{\pmb{2}}}{} as follows: ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,... l.3923 }{} ! Undefined control sequence. ...{\pmb {2}}=\left \{\zeta (t_1^{\pmb {2}}),\dots ,\zeta (t_{r_n... l.3923 }{} ! Undefined control sequence. ...b {2}}),\dots ,\zeta (t_{r_n}^{\pmb {2}})\right \}, l.3923 }{} ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.3924 ...nging to \eqn{\mathcal{R}_n^{\pmb{2}}}{} ! Undefined control sequence. ...=\sum _{k=1}^{r_n}\beta _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}... l.3926 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ... _{0k}^{\pmb {2}}\zeta _i(t_k^{\pmb {2}})+m^{\pmb {2}}\left (X... l.3926 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ...2}}\zeta _i(t_k^{\pmb {2}})+m^{\pmb {2}}\left (X_i\right )+\va... l.3926 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! Undefined control sequence. ...t (X_i\right )+\varepsilon _i^{\pmb {2}}. l.3926 ...t(X_i\right)+\varepsilon_i^{\pmb{2}}.}{} ! LaTeX Error: Environment aligned undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... ! Misplaced alignment tab character &. q_{n,k}= \left \{\begin {aligned} & [p_n/w_n]+1& \quad k\in \{1,\... l.3943 }{} ! Misplaced alignment tab character &. ...eft \{\begin {aligned} &[p_n/w_n]+1& \quad k\in \{1,\dots ,p_n... l.3943 }{} ! Misplaced alignment tab character &. & l.3943 }{} ! Misplaced alignment tab character &. ...s ,p_n-w_n[p_n/w_n]\},\\ &[p_n/w_n]& \quad k\in \{p_n-w_n[p_n/w... l.3943 }{} ! LaTeX Error: \begin{list} on input line 3868 ended by \end{aligned}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... ! Undefined control sequence. z\in \mathbb {R} l.3944 ...e integer part of \eqn{z\in\mathbb{R}}{} . ! Undefined control sequence. \hat {\pmb {\beta }} l.3953 ...ode{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i.e. estimate of \eqn{\p... ! Undefined control sequence. \pmb l.3953 ... (i.e. estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. \pmb l.3960 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \pmb {\beta }_0^{\pmb {2}} l.3960 ...imate of \eqn{\pmb{\beta}_0^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \mathcal {R}_n^{\pmb {2}} l.3965 ...to build \eqn{\mathcal{R}_n^{\pmb{2}}}{} for each value of the seq... ! Undefined control sequence. \pmb l.3966 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \pmb {\beta }_0^{\pmb {1}} l.3966 ...imate of \eqn{\pmb{\beta}_0^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \mathcal {R}_n^{\pmb {1}} l.3970 ...to build \eqn{\mathcal{R}_n^{\pmb{1}}}{} for each value of the seq... ! Undefined control sequence. \mathbb l.4217 ...ates taking values in \eqn{\mathbb{R}}{} and \eqn{X_i}{} is a func... ! Undefined control sequence. \pmb l.4218 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} and \eqn{m(\cdot)}{} are ... ! Undefined control sequence. ...,\beta _{0p_n})^{\top } \in \mathbb {R}^{p_n} l.4218 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} and \eqn{m(\cdot)}{} are ... ! Undefined control sequence. \widetilde {\pmb {Y}}\approx \widetilde {\pmb {Z}}\pmb {\beta }_0... l.4224 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. ... {\pmb {Y}}\approx \widetilde {\pmb {Z}}\pmb {\beta }_0+\pmb {... l.4224 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. ...}}\approx \widetilde {\pmb {Z}}\pmb {\beta }_0+\pmb {\varepsil... l.4224 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. ...ilde {\pmb {Z}}\pmb {\beta }_0+\pmb {\varepsilon }, l.4224 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. \mathcal {Q}\left (\pmb {\beta }\right )=\frac {1}{2}\left (\wid... l.4228 }{} ! Undefined control sequence. ...\frac {1}{2}\left (\widetilde {\pmb {Y}}-\widetilde {\pmb {Z}}... l.4228 }{} ! Undefined control sequence. ...detilde {\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )^... l.4228 }{} ! Undefined control sequence. ...\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )^{\top }\l... l.4228 }{} ! Undefined control sequence. ...ht )^{\top }\left (\widetilde {\pmb {Y}}-\widetilde {\pmb {Z}}... l.4228 }{} ! Undefined control sequence. ...detilde {\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )+... l.4228 }{} ! Undefined control sequence. ...\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )+n\sum _{j... l.4228 }{} ! Undefined control sequence. \pmb l.4230 ...{P}_{\lambda_{j_n}}\left(\cdot\right)}{} is a penalty function (sp... ! Undefined control sequence. \pmb l.4234 ..., after estimating \eqn{\pmb{\beta}_0}{} by minimising (1), we dea... ! Undefined control sequence. Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4235 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4235 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. \mathbb l.4410 ...ates taking values in \eqn{\mathbb{R}}{} and \eqn{X_i}{} is a func... ! Undefined control sequence. \pmb l.4411 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} and \eqn{m(\cdot)}{} are ... ! Undefined control sequence. ...,\beta _{0p_n})^{\top } \in \mathbb {R}^{p_n} l.4411 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} and \eqn{m(\cdot)}{} are ... ! Undefined control sequence. \widetilde {\pmb {Y}}\approx \widetilde {\pmb {Z}}\pmb {\beta }_0... l.4417 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. ... {\pmb {Y}}\approx \widetilde {\pmb {Z}}\pmb {\beta }_0+\pmb {... l.4417 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. ...}}\approx \widetilde {\pmb {Z}}\pmb {\beta }_0+\pmb {\varepsil... l.4417 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. ...ilde {\pmb {Z}}\pmb {\beta }_0+\pmb {\varepsilon }, l.4417 ...b{Z}}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. \mathcal {Q}\left (\pmb {\beta }\right )=\frac {1}{2}\left (\wid... l.4421 }{} ! Undefined control sequence. ...\frac {1}{2}\left (\widetilde {\pmb {Y}}-\widetilde {\pmb {Z}}... l.4421 }{} ! Undefined control sequence. ...detilde {\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )^... l.4421 }{} ! Undefined control sequence. ...\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )^{\top }\l... l.4421 }{} ! Undefined control sequence. ...ht )^{\top }\left (\widetilde {\pmb {Y}}-\widetilde {\pmb {Z}}... l.4421 }{} ! Undefined control sequence. ...detilde {\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )+... l.4421 }{} ! Undefined control sequence. ...\pmb {Y}}-\widetilde {\pmb {Z}}\pmb {\beta }\right )+n\sum _{j... l.4421 }{} ! Undefined control sequence. \pmb l.4423 ...{P}_{\lambda_{j_n}}\left(\cdot\right)}{} is a penalty function (sp... ! Undefined control sequence. \pmb l.4427 ..., after estimating \eqn{\pmb{\beta}_0}{} by minimising (1), we dea... ! Undefined control sequence. Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4428 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4428 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. \mathbb l.4607 ...ates taking values in \eqn{\mathbb{R}}{} and \eqn{X_i}{} is a func... ! Undefined control sequence. \pmb l.4608 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} , \eqn{\theta_0\in\mathcal... ! Undefined control sequence. ...,\beta _{0p_n})^{\top } \in \mathbb {R}^{p_n} l.4608 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} , \eqn{\theta_0\in\mathcal... ! Undefined control sequence. \widetilde {\pmb {Y}}_{\theta _0}\approx \widetilde {\pmb {Z}}_{\... l.4614 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. ...{\theta _0}\approx \widetilde {\pmb {Z}}_{\theta _0}\pmb {\bet... l.4614 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. ...idetilde {\pmb {Z}}_{\theta _0}\pmb {\beta }_0+\pmb {\varepsil... l.4614 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. ...Z}}_{\theta _0}\pmb {\beta }_0+\pmb {\varepsilon }, l.4614 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. (\pmb {\beta },\theta ) l.4615 ...er the pair \eqn{(\pmb{\beta},\theta)}{} ! Undefined control sequence. \mathcal {Q}\left (\pmb {\beta },\theta \right )=\frac {1}{2}\le... l.4618 }{} ! Undefined control sequence. ...\frac {1}{2}\left (\widetilde {\pmb {Y}}_{\theta }-\widetilde ... l.4618 }{} ! Undefined control sequence. ...pmb {Y}}_{\theta }-\widetilde {\pmb {Z}}_{\theta }\pmb {\beta ... l.4618 }{} ! Undefined control sequence. ...\widetilde {\pmb {Z}}_{\theta }\pmb {\beta }\right )^{\top }\l... l.4618 }{} ! Undefined control sequence. ...ht )^{\top }\left (\widetilde {\pmb {Y}}_{\theta }-\widetilde ... l.4618 }{} ! Undefined control sequence. ...pmb {Y}}_{\theta }-\widetilde {\pmb {Z}}_{\theta }\pmb {\beta ... l.4618 }{} ! Undefined control sequence. ...\widetilde {\pmb {Z}}_{\theta }\pmb {\beta }\right )+n\sum _{j... l.4618 }{} ! Undefined control sequence. \pmb l.4620 ...{P}_{\lambda_{j_n}}\left(\cdot\right)}{} is a penalty function (sp... ! Undefined control sequence. \pmb l.4627 ..., after estimating \eqn{\pmb{\beta}_0}{} and \eqn{\theta_0}{} by m... ! Undefined control sequence. Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4628 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4628 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. \mathbb l.4836 ...ates taking values in \eqn{\mathbb{R}}{} and \eqn{X_i}{} is a func... ! Undefined control sequence. \pmb l.4837 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} , \eqn{\theta_0\in\mathcal... ! Undefined control sequence. ...,\beta _{0p_n})^{\top } \in \mathbb {R}^{p_n} l.4837 ...a_{0p_n})^{\top} \in \mathbb{R}^{p_n}}{} , \eqn{\theta_0\in\mathcal... ! Undefined control sequence. \widetilde {\pmb {Y}}_{\theta _0}\approx \widetilde {\pmb {Z}}_{\... l.4843 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. ...{\theta _0}\approx \widetilde {\pmb {Z}}_{\theta _0}\pmb {\bet... l.4843 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. ...idetilde {\pmb {Z}}_{\theta _0}\pmb {\beta }_0+\pmb {\varepsil... l.4843 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. ...Z}}_{\theta _0}\pmb {\beta }_0+\pmb {\varepsilon }, l.4843 ...ta_0}\pmb{\beta}_0+\pmb{\varepsilon},}{} ! Undefined control sequence. (\pmb {\beta },\theta ) l.4844 ...er the pair \eqn{(\pmb{\beta},\theta)}{} ! Undefined control sequence. \mathcal {Q}\left (\pmb {\beta },\theta \right )=\frac {1}{2}\le... l.4847 }{} ! Undefined control sequence. ...\frac {1}{2}\left (\widetilde {\pmb {Y}}_{\theta }-\widetilde ... l.4847 }{} ! Undefined control sequence. ...pmb {Y}}_{\theta }-\widetilde {\pmb {Z}}_{\theta }\pmb {\beta ... l.4847 }{} ! Undefined control sequence. ...\widetilde {\pmb {Z}}_{\theta }\pmb {\beta }\right )^{\top }\l... l.4847 }{} ! Undefined control sequence. ...ht )^{\top }\left (\widetilde {\pmb {Y}}_{\theta }-\widetilde ... l.4847 }{} ! Undefined control sequence. ...pmb {Y}}_{\theta }-\widetilde {\pmb {Z}}_{\theta }\pmb {\beta ... l.4847 }{} ! Undefined control sequence. ...\widetilde {\pmb {Z}}_{\theta }\pmb {\beta }\right )+n\sum _{j... l.4847 }{} ! Undefined control sequence. \pmb l.4849 ...{P}_{\lambda_{j_n}}\left(\cdot\right)}{} is a penalty function (sp... ! Undefined control sequence. \pmb l.4855 ..., after estimating \eqn{\pmb{\beta}_0}{} and \eqn{\theta_0}{} by m... ! Undefined control sequence. Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4856 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. Y_i-\pmb {Z}_i^{\top }\widehat {\pmb {\beta }} l.4856 ...\pmb{Z}_i^{\top}\widehat{\pmb{\beta}}}{} . ! Undefined control sequence. \hat {\pmb {\beta }} l.4870 ...ode{beta.est}] \eqn{\hat{\pmb{\beta}}}{} (i. e. the estimate of \e... ! Undefined control sequence. \pmb l.4870 ...e. the estimate of \eqn{\pmb{\beta}_0}{} when the optimal tuning p... ! Undefined control sequence. \pmb l.4876 ...n used to estimate \eqn{\pmb{\beta}_0}{} and \eqn{\theta_0}{}. Tha... ! Undefined control sequence. \pmb l.4882 used by the optimal \eqn{\pmb{\beta}}{} for each \eqn{\theta}{} in \e... * checking PDF version of manual without hyperrefs or index ... ERROR * DONE Status: 1 ERROR, 1 WARNING