Ordering properties of the largest order statistics from Kumaraswamy-G models under random shocks

被引：11
|
作者：
Kundu, Amarjit [1 ]
Chowdhury, Shovan [2 ]
机构：
[1] Raiganj Univ, Dept Math, Raiganj, W Bengal, India
[2] Indian Inst Management, Quantitat Methods & Operat Management Area, Kozhikode 673570, Kerala, India
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2021年 / 50卷 / 06期
关键词：
Kumaraswamy-G distribution; matrix majorization; order statistics; random shock; stochastic order; PROBABILITY DENSITY-FUNCTION; PARALLEL SYSTEMS; STOCHASTIC COMPARISONS; SAMPLE MINIMUM; YIELD;
D O I：
10.1080/03610926.2019.1651862
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper we compare the maximums of two independent and heterogeneous samples each following Kumaraswamy-G distribution with the same and the different parent distribution functions using the concept of matrix majorization. The comparisons are particularly carried out with respect to usual stochastic ordering when each sampling unit experiences a random shock. It is also shown that, under similar conditions no reversed hazard rate ordering exists between maximums.
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页码：1502 / 1514
页数：13
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