@article{article_421978, title={A Comparison of Copula Families on Dependence Structure of Extreme Order Statistics}, journal={Politeknik Dergisi}, volume={22}, pages={855–862}, year={2019}, DOI={10.2339/politeknik.421978}, author={Baş Kaman, Ferhan and Olmuş, Hülya}, keywords={Dependent structure,order statistics,copula,simulation}, abstract={<h3 style="font-size:1.8em;padding:12px 0px 6px;font-family:Georgia, ’Times New Roman’, Times, serif;margin:0px 8px;color:rgb(51,51,51);"> </h3> <p class="MsoNormal" style="margin-bottom:.0001pt;text-align:justify;line-height:normal;"> <span lang="en-gb" style="font-size:9pt;font-family:’Times New Roman’, serif;" xml:lang="en-gb">Order statistics have an important place in probability theory and statistical inference, especially reliability analysis. It is aimed to compare the dependency structure with some copula families of min-max copula for the extreme order statistics in this study. Suitability of Clayton, Frank, Gumbel from Archimedean copula families, Gaussian, Farlie-Gumbel-Morgenstern and       min-max copula are examined by simulation study. To find the most suitable copula family, some model selection criteries are used and important inferences are obtained. </span> </p> <p> </p> <p> </p>}, number={4}, publisher={Gazi Üniversitesi}