Document Zbl 1539.62345

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Theory Relat. Fields</a> <a href="/?q=in%3A493897" title="Articles in this Issue">6, No. 2, 89-99 (2022)</a>. </div> <div class="abstract">Summary: The rapid emergence of massive datasets in various fields poses a serious challenge to traditional statistical methods. Meanwhile, it provides opportunities for researchers to develop novel algorithms. Inspired by the idea of divide-and-conquer, various distributed frameworks for statistical estimation and inference have been proposed. They were developed to deal with large-scale statistical optimization problems. This paper aims to provide a comprehensive review for related literature. It includes parametric models, nonparametric models, and other frequently used models. Their key ideas and theoretical properties are summarized. The trade-off between communication cost and estimate precision together with other concerns is discussed.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=ci%3A7660291">Cited in <strong>6</strong> Reviews</a></div><div class="clear"><a href="/?q=rf%3A7660291">Cited in <strong>8</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A62R07" title="MSC2020">62R07</a> </td> <td class="space"> Statistical aspects of big data and data science </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A62-02" title="MSC2020">62-02</a> </td> <td class="space"> Research exposition (monographs, survey articles) pertaining to statistics </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A62G05" title="MSC2020">62G05</a> </td> <td class="space"> Nonparametric estimation </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A62H25" title="MSC2020">62H25</a> </td> <td class="space"> Factor analysis and principal components; correspondence analysis </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Adistributed+computing">distributed computing</a>; <a href="/?q=ut%3Adivide-and-conquer">divide-and-conquer</a>; <a href="/?q=ut%3Acommunication-efficiency">communication-efficiency</a>; <a href="/?q=ut%3Ashrinkage+methods">shrinkage methods</a>; <a href="/?q=ut%3Anonparametric+estimation">nonparametric estimation</a>; <a href="/?q=ut%3Aprincipal+component+analysis">principal component analysis</a>; <a href="/?q=ut%3Afeature+screening">feature screening</a>; <a href="/?q=ut%3Abootstrap">bootstrap</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 1539.62345" data-ciurl="/ci/07660291" data-biburl="/bibtex/07660291.bib" data-amsurl="/amsrefs/07660291.bib" data-xmlurl="/xml/07660291.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07660291.pdf" title="Zbl 1539.62345 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/10.1080/24754269.2021.1974158" aria-label="DOI for “A review of distributed statistical inference”" title="10.1080/24754269.2021.1974158">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2304.06245"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Agarwal, N., Suresh, A. 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