Geometric generated family of distributions: A review

被引：0

作者：

Goyal, Teena ^{[1
]}

Maurya, Sandeep Kumar ^{[2
]}

Nadarajah, Saralees ^{[3
]}

机构：

[1] Banasthali Vidyapith, Dept Math & Stat, Vanasthali, Rajasthan, India

[2] Cent Univ South Bihar, Dept Stat, Fatehpur, Bihar, India

[3] Univ Manchester, Sch Math, Manchester, Lancs, England

来源：

BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS | 2021年 / 35卷 / 03期

关键词：

geometric distribution; power series distribution; compounding tech-nique; real data application; Lifetime models; LIFETIME DISTRIBUTION; PARAMETER; SURVIVAL; TERM;

D O I：

10.1214/20-BJPS485

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：

The present article represents a review of the geometric generated family of distributions. Based on this family of distribution, several distributions are proposed. The family can be proposed by using the compounding concept of zero truncated geometric distribution with any other model or family of distributions. Here, we provide a complete survey on this family of distributions and also listed the contributory related research work, their sub models, hazard rates, and utilized real datasets. We also address 10 power series distributions, 60 distributions based on the geometric family of distribution. These numbers show the importance of the geometric family of distribution.

引用

页码：442 / 465

页数：24

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