Unit Burr-III distribution with application

被引:19
|
作者
Modi, Kanak [1 ]
Gill, Vinod [2 ]
机构
[1] Amity Univ Jaipur, Dept Math, Jaipur 303002, Rajasthan, India
[2] Govt Postgrad Coll, Dept Math, Hisar 125001, Haryana, India
关键词
Burr-III distribution; Moment generating function; Renyi entropy; Probability Weighted moments; Order Statistics; Maximum likelihood estimation;
D O I
10.1080/09720510.2019.1646503
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 introduce a new Unit Burr-III probability distribution with support interval (0,1). The proposed distribution possesses a flexible density function and bathtub shape hazard rate function. We derive the expressions for its mathematical and statistical properties. Probability distribution function of order statistics and expression for pth moment for derived distribution is also obtained. We calculate parameter estimates by using the technique of maximum likelihood estimation. We apply it on two real datasets and found that it provides better fit than other well known distributions.
引用
收藏
页数:14
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