Document Zbl 08009533

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In this approach, we need to estimate the survival function of the censoring variable by the Kaplan-Meier estimator. The AFT model parameters are first estimated by the expectile method and afterwards, when the number of explanatory variables can be large, by the adaptive LASSO expectile method which directly carries out the automatic selection of variables. We also obtain the convergence rate and asymptotic normality for the two estimators, while showing the sparsity property for the censored adaptive LASSO expectile estimator. A numerical study using Monte Carlo simulations confirms the theoretical results and demonstrates the competitive performance of the two proposed estimators. The usefulness of these estimators is illustrated by applying them to three survival data sets.</div> <div class="clear"></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A62Nxx" title="MSC2020">62Nxx</a> </td> <td class="space"> Survival analysis and censored data </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A62P10" title="MSC2020">62P10</a> </td> <td class="space"> Applications of statistics to biology and medical sciences; meta analysis </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A62N01" title="MSC2020">62N01</a> </td> <td class="space"> Censored data models </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A62N02" title="MSC2020">62N02</a> </td> <td class="space"> Estimation in survival analysis and censored data </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A62F12" title="MSC2020">62F12</a> </td> <td class="space"> Asymptotic properties of parametric estimators </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A62J07" title="MSC2020">62J07</a> </td> <td class="space"> Ridge regression; shrinkage estimators (Lasso) </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aaccelerated+failure+time">accelerated failure time</a>; <a href="/?q=ut%3Aright-censoring">right-censoring</a>; <a href="/?q=ut%3Aexpectile">expectile</a>; <a href="/?q=ut%3ALASSO">LASSO</a>; <a href="/?q=ut%3Aautomatic+selection">automatic selection</a>; <a href="/?q=ut%3Aasymptotic+behavior">asymptotic behavior</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 08009533" data-ciurl="/ci/08009533" data-biburl="/bibtex/08009533.bib" data-amsurl="/amsrefs/08009533.bib" data-xmlurl="/xml/08009533.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/08009533.pdf" title="Zbl 08009533 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s10985-024-09643-w" aria-label="DOI for “Right-censored models by the expectile method”" title="10.1007/s10985-024-09643-w">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2402.03203"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Cai, T.; 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