Document Zbl 1328.62282

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Probab. Lett.</a> <a href="/?q=in%3A350130" title="Articles in this Issue">103, 176-185 (2015)</a>. </div> <div class="abstract">Summary: We show that discrete logconcavity of probability mass functions implies logconcavity of their distribution and survival functions. Applications are obtained and discrete strong unimodality of order statistics (OSs) is established. Illustrative examples are provided and finally discrete logconvexity of OSs is discussed.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=ci%3A6512878">Cited in <strong>1</strong> Review</a></div><div class="clear"><a href="/?q=rf%3A6512878">Cited in <strong>6</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A62G30" title="MSC2020">62G30</a> </td> <td class="space"> Order statistics; empirical distribution functions </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Adiscrete+order+statistics">discrete order statistics</a>; <a href="/?q=ut%3Alogconcavity">logconcavity</a>; <a href="/?q=ut%3Aunimodality">unimodality</a>; <a href="/?q=ut%3Atotal+positivity">total positivity</a>; <a href="/?q=ut%3AIFR+%28DFR%29">IFR (DFR)</a>; <a href="/?q=ut%3ADRHR+%28IRHR%29">DRHR (IRHR)</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 1328.62282" data-ciurl="/ci/06512878" data-biburl="/bibtex/06512878.bib" data-amsurl="/amsrefs/06512878.bib" data-xmlurl="/xml/06512878.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06512878.pdf" title="Zbl 1328.62282 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/10.1016/j.spl.2015.04.019" aria-label="DOI for “Discrete strong unimodality of order statistics”" title="10.1016/j.spl.2015.04.019">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Alam, K., Unimodality of the distribution of an order statistic, Ann. 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