- Politeknik Dergisi
- Vol: 22 Issue: 4
- A Comparison of Copula Families on Dependence Structure of Extreme Order Statistics
A Comparison of Copula Families on Dependence Structure of Extreme Order Statistics
Authors : Ferhan BAŞ KAMAN, Hülya OLMUŞ
Pages : 855-862
Doi:10.2339/politeknik.421978
View : 16 | Download : 1
Publication Date : 2019-12-01
Article Type : Research
Abstract :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.Keywords : Dependent structure, order statistics, copula, simulation