The Govindarajulu Distribution: Some Properties and Applications

被引：16

作者：

Nair, N. Unnikrishnan ^{[1
]}

Sankaran, P. G. ^{[1
]}

Vineshkumar, B. ^{[1
]}

机构：

[1] Cochin Univ Sci & Technol, Dept Stat, Cochin 22, Kerala, India

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2012年 / 41卷 / 24期

关键词：

Govindarajulu distribution; Hazard and mean residual functions; L-moments; L-skewness; and L-kurtosis and order statistics; Quantile function; L-MOMENTS;

D O I：

10.1080/03610926.2011.573168

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 article, we present various distributional properties and application to reliability analysis of the Govindarajulu distribution. A quantile-based analysis is performed as the distribution function is not analytically tractable. The properties of the distribution like percentiles, L-moments, L-skewness, and kurtosis and order statistics are presented. Various reliability characteristics are derived along with some characterization theorems by relationship between reliability measures. We also make a comparative study with other competing models with reference to real data.

引用

页码：4391 / 4406

页数：16

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