On Weighted Exponential Distribution and Its Length Biased Version

被引：0
|
作者：
Das S. [1 ]
Kundu D. [2 ]
机构：
[1] Department of System Engineering and Engineering Management, City University of Hong Kong, Tat Chee Avenue, Kowloon
[2] Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur
来源：
Journal of the Indian Society for Probability and Statistics | 2016年 / 17卷 / 1期
关键词：
Increasing failure rate; Length biased distribution; Maximum likelihood estimators; Mean residual life; Moment generating function;
D O I：
10.1007/s41096-016-0001-9
中图分类号：
学科分类号：
摘要：
In this paper we consider the weighted exponential distribution proposed by Gupta and Kundu (Statistics 43:621–634, 2009) and discuss its various reliability properties. We further consider the length biased version of the weighted exponential distribution, and discuss different properties and inferential issues. The maximum likelihood estimators of the unknown parameters of the proposed length biased weighted exponential distribution has been addressed. One data set has been analyzed for illustrative purposes. © 2016, The Indian Society for Probability and Statistics (ISPS).
引用
收藏
页码：57 / 77
页数：20
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