The Maxwell length-biased distribution: Properties and estimation

被引：8
|
作者：
Saghir A. [1 ]
Khadim A. [1 ]
Lin Z. [2 ]
机构：
[1] Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur
[2] Department of Mathematics, Institute of Statistics, Zhejiang University, Hangzhou
来源：
Journal of Statistical Theory and Practice | 2017年 / 11卷 / 1期
关键词：
Bayes estimate; maximum likelihood estimate; Maxwell length-biased distribution; reliability function; sufficient statistic;
D O I：
10.1080/15598608.2016.1246266
中图分类号：
学科分类号：
摘要：
The concept of length-biased distribution can be employed in the development of proper models for the lifetime data. Length-biased distribution is a special case of the more general form known as the weighted distribution. This article introduces a new class of Maxwell length-biased distribution. The statistical properties of the proposed distribution are determined, including shape, kth moment, reliability function, hazard function, reverse hazard function, and so on. The maximum likelihood estimate (MLE), method of moments (MM) estimate, and Bayesian estimate of the unknown parameter are derived. An illustrative example demonstrates the application of the proposed distribution in real life. © 2017 Grace Scientific Publishing, LLC.
引用
收藏
页码：26 / 40
页数：14
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