Quantile-Based Reliability Analysis

被引：88
|
作者：
Nair, N. Unnikrishnan [1 ]
Sankaran, P. G. [1 ]
机构：
[1] Cochin Univ Sci & Technol, Dept Stat, Cochin 682022, Kerala, India
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2009年 / 38卷 / 02期
关键词：
Lambda distributions; Quantile-based reliability concepts; Quantile functions; REVERSED HAZARD RATE; DISTRIBUTIONS;
D O I：
10.1080/03610920802187430
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：
Quantile functions are equivalent alternatives to distribution functions in modeling and analysis of statistical data. The present article discusses the role of quantile functions in reliability studies. We present the hazard, mean residual, variance residual, and percentile residual quantile functions, their mutual relationships and expressions for the quantile functions in terms of these functions. Further, some theoretical results relating to the Hankin and Lee (2006) lambda distribution are discussed.
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页码：222 / 232
页数：11
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