The Topp-Leone Generalized Inverted Exponential Distribution with Real Data Applications

被引：9

作者：

Al-Saiary, Zakeia A. ^{[1
]}

Bakoban, Rana A. ^{[1
]}

机构：

[1] Univ Jeddah, Coll Sci, Dept Stat, Jeddah 22254, Saudi Arabia

来源：

ENTROPY | 2020年 / 22卷 / 10期

关键词：

Topp-Leone distribution; generalized inverted exponential; Ré nyi entropy; maximum likelihood estimator; fisher information matrix; Monte Carlo simulation; GENERATED FAMILY;

D O I：

10.3390/e22101144

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article, a new three parameters lifetime model called the Topp-Leone Generalized Inverted Exponential (TLGIE) Distribution is introduced. Various properties of the model are derived, including moments, quantile function, survival function, hazard rate function, mean deviation and mode. The method of maximum likelihood is used to estimate the unknown parameters. The properties of the maximum likelihood estimators using Fisher information matrix are studied. Three real data sets are applied for illustrative purpose of this study.

引用

页码：1 / 16

页数：15

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