The gamma-normal distribution: Properties and applications

被引：65

作者：

Alzaatreh, Ayman ^{[1
]}

Famoye, Felix ^{[2
]}

Lee, Carl ^{[2
]}

机构：

[1] Austin Peay State Univ, Dept Math & Stat, Clarksville, TN 37044 USA

[2] Cent Michigan Univ, Dept Math, Mt Pleasant, MI 48859 USA

来源：

COMPUTATIONAL STATISTICS & DATA ANALYSIS | 2014年 / 69卷

关键词：

T-X distributions; Hazard function; Moments; Estimation; GENERATING FAMILIES;

D O I：

10.1016/j.csda.2013.07.035

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, some properties of gamma-X family are discussed and a member of the family, the gamma-normal distribution, is studied in detail. The limiting behaviors, moments, mean deviations, dispersion, and Shannon entropy for the gamma-normal distribution are provided. Bounds for the non-central moments are obtained. The method of maximum likelihood estimation is proposed for estimating the parameters of the gamma-normal distribution. Two real data sets are used to illustrate the applications of the gamma-normal distribution. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：67 / 80

页数：14

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