A LENGTH-BIASED VERSION OF THE GENERALIZED GAMMA DISTRIBUTION

被引：0
|
作者：
Rashwan, Nasr Ibrahim [1 ]
机构：
[1] Fac Commerce, Dept Stat, Tanta, Egypt
来源：
ADVANCES AND APPLICATIONS IN STATISTICS | 2013年 / 32卷 / 02期
关键词：
length-biased; generalized g amma distribution; coefficient of skewness; coefficient of kurtosis; reliability function; failure rate function; moments estimation method; the maximum likelihood estimation;
D O I：
暂无
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：
This paper develops a length-biased version of the generalized gamma distribution. This is known as the generalized gamma length-biased (GGLB) distribution. The statistical properties of this distribution are discussed and studied. These properties involve the mean, the variance, the mode, the coefficient of skewness, the coefficient of kurtosis, the cumulative density function, the reliability function and the failure rate function (hazard function). It also estimates the parameters of distribution using the moments method and the maximum likelihood estimation method. The calculations are illustrated with the help of numerical example.
引用
收藏
页码：119 / 137
页数：19
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