May 19, 2024
Ghobad Saadatkia

Ghobad Saadatkia

Academic rank: Associate professor
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Education: Ph.D in statistics
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Research

Title
Orderings of Extreme Order Statistics with Archimedean Copula and Powered Gompertz Random Variables
Type Article
Keywords
Powered Gompertz Distribution, Order Statistics, k-out-of-n Systems, Majorization Orders, Stochastic Orders, Archimedean Copula
Researchers Ghobad Saadatkia، Kiomars Motarjem، Ali Akbar ‎Hosseinzadeh

Abstract

Bathtub shaped failure rate distributions are of special interest in reliability theory, survival analysis and many other fields. The so-called power Gompertz distri- bution is one of the popular lifetime distributions that possesses the bathtub shaped failure rate function. In this paper, we study some stochastic comparisons results for extreme order statistics from dependent powered Gompertz distributed random vari- ables under Archimedean copula. The study has been carried out in the sense of the usual stochastic order and the dispersive order.