The Marshall-Olkin Topp Leone-G family of distributions: A family for generalizing probability models

被引：18

作者：

Khaleel, Mundher A. ^{[1
]}

Oguntunde, Pelumi E. ^{[2
]}

Al Abbasi, Jamal N. ^{[3
]}

Ibrahim, Noor A. ^{[4
]}

AbuJarad, Mohammed H. A. ^{[5
]}

机构：

[1] Univ Tikrit, Fac Comp Sci & Math, Dept Math, Tikrit, Iraq

[2] Covenant Univ, Dept Math, Ota, Ogun State, Nigeria

[3] Al Nahrain Univ, Dept Stat, Baghdad, Iraq

[4] Univ Putra, Fac Sci, Dept Math, Seri Kembangan, Malaysia

[5] Aligarh Muslim Univ, Dept Stat & Operat Res, Alighar, India

来源：

SCIENTIFIC AFRICAN | 2020年 / 8卷

关键词：

Generalized models; Topp Leone family of distributions; Marshall-Olkin family of distributions; Marshall-Olkin Topp Leone-G family of distributions; Mathematical statistics; Simulation; WEIBULL DISTRIBUTION;

D O I：

10.1016/j.sciaf.2020.e00470

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper introduced a family of distributions which is flexible and capable of yielding more robust compound probability models when used in modeling real life events. General statistical properties of the family; Marshall-Olkin Topp Leone-G family of distributions were adequately provided. For illustration purpose, the Marshall-Olkin Topp Leone Weibull distribution was applied to three real life data sets and it is undoubtedly better than its competitors; Marshall Olkin Topp Leone Burr XII, Marshall Olkin Topp Leone Lomax, Beta Weibull, Kumaraswamy Weibull (KuWe), Exponentiated Generalized Weibull (EGWe) and Weibull Weibull (WeWe) distributions. Simulation studies were also provided to investigate the behavior of the parameters. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of African Institute of Mathematical Sciences / Next Einstein Initiative.

引用

页数：19

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