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

共 50 条

[31] The Burr III-Topp-Leone-G family of distributions with applications
Chipepa, Fastel
Oluyede, Broderick
Peter, O. Peter
HELIYON, 2021, 7 (04)
[32] Sine Topp-Leone-G family of distributions: Theory and applications
Al-Babtain, Abdulhakim A.
Elbatal, Ibrahim
Chesneau, Christophe
Elgarhy, Mohammed
OPEN PHYSICS, 2020, 18 (01): : 574 - 593
[33] Characterization of Marshall-Olkin-G family of distributions by truncated moments
Muhammad, Mustapha
Liu, Lixia
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2019, 19 (03): : 192 - 202
[34] The Ristić–Balakrishnan–Topp–Leone–Gompertz-G Family of Distributions with Applications
Shusen Pu
Thatayaone Moakofi
Broderick Oluyede
Journal of Statistical Theory and Applications, 2023, 22 : 116 - 150
[35] The Ristic-Balakrishnan-Topp-Leone-Gompertz-G Family of Distributions with Applications
Pu, Shusen
Moakofi, Thatayaone
Oluyede, Broderick
JOURNAL OF STATISTICAL THEORY AND APPLICATIONS, 2023, 22 (1-2): : 116 - 150
[36] The Topp Leone odd Lindley-G family of distributions : Properties and applications
Reyad, Hesham
Alizadeh, Morad
Jamal, Farrukh
Othman, Soha
JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS, 2018, 21 (07): : 1273 - 1297
[37] The odd log-logistic Topp–Leone G family of distributions: heteroscedastic regression models and applications
Morad Alizadeh
Fazlollah Lak
Mahdi Rasekhi
Thiago G. Ramires
Haitham M. Yousof
Emrah Altun
Computational Statistics, 2018, 33 : 1217 - 1244
[38] MARSHALL-OLKIN EXTENDED TOPP-LEONE DISTRIBUTION AND ITS APPLICATION TO PROGRESSIVELY FIRST-FAILURE CENSORED DATA
Modhesh, A. A.
Alkhairy, Ibrahim
ADVANCES AND APPLICATIONS IN STATISTICS, 2021, 71 (01) : 101 - 121
[39] The Marshall and Olkin-G and Gamma-G Family of Distributions: Properties and Applications
Lima, Maria Do Carmo S.
Cordeiro, Gauss M.
Marinho, Pedro Rafael D.
REVSTAT-STATISTICAL JOURNAL, 2024, 22 (03) : 293 - 308
[40] The Weibull Marshall-Olkin family: Regression model and application to censored data
Korkmaz, Mustafa C.
Cordeiro, Gauss M.
Yousof, Haitham M.
Pescim, Rodrigo R.
Afify, Ahmed Z.
Nadarajah, Saralees
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (16) : 4171 - 4194

← 1 2 3 4 5 →