Kumaraswamy Marshall-Olkin Exponential distribution

被引：9
作者：
George, Roshini [1 ]
Thobias, S. [1 ]
机构：
[1] Loyola Coll Autonomous, Dept Stat, Chennai 600034, Tamil Nadu, India
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2019年 / 48卷 / 08期
关键词：
Characterization; Kumaraswamy distribution; Renyi entropy; Simulation; Stochastic ordering; FAMILY;
D O I：
10.1080/03610926.2018.1440594
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, a new generalization of the Kumaraswamy distribution namely, the Kumaraswamy Marshall-Olkin Exponential distribution (KwMOE) is introduced and studied. Various properties are explored. The structural analysis includes various aspects such as limiting behaviour, shape properties, moments, quantiles, mean deviation, Renyi entropy, order statistics and stochastic ordering. Some useful characterizations of the family are also obtained. The method of maximum likelihood is used to estimate the model parameters. Monte Carlo simulation study is being conducted. An application to a real data set is presented for illustrative purposes.
引用
收藏
页码：1920 / 1937
页数：18
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