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 21 条

[1] A new Topp-Leone Kumaraswamy Marshall-Olkin generated family of distributions with applications
Atchade, Mintode Nicodeme
N'bouke, Melchior A. G.
Djibril, Aliou Moussa
Al Mutairi, Aned
Mustafa, Manahil SidAhmed
Hussam, Eslam
Alsuhabi, Hassan
Nassr, Said G.
HELIYON, 2024, 10 (02)
[2] THE MARSHALL-OLKIN GENERALIZED-G FAMILY OF DISTRIBUTIONS WITH APPLICATIONS
Yousof, Haitham M.
Afify, Ahmed Z.
Nadarajah, Saralees
Hamedani, Gholamhossein
Aryal, Gokarna R.
STATISTICA, 2018, 78 (03) : 273 - 295
[3] A new family of Marshall-Olkin extended distributions
Alshangiti, Arwa M.
Kayid, M.
Alarfaj, B.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 271 : 369 - 379
[4] An Alternative to the Marshall-Olkin Family of Distributions: Bootstrap, Regression and Applications
Christophe Chesneau
Kadir Karakaya
Hassan S. Bakouch
Coşkun Kuş
Communications on Applied Mathematics and Computation, 2022, 4 : 1229 - 1257
[5] An Alternative to the Marshall-Olkin Family of Distributions: Bootstrap, Regression and Applications
Chesneau, Christophe
Karakaya, Kadir
Bakouch, Hassan S.
Kus, Coskun
COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2022, 4 (04) : 1229 - 1257
[6] On the Discrete Weibull Marshall-Olkin Family of Distributions: Properties, Characterizations, and Applications
Gillariose, Jiju
Balogun, Oluwafemi Samson
Almetwally, Ehab M.
Sherwani, Rehan Ahmad Khan
Jamal, Farrukh
Joseph, Joshin
AXIOMS, 2021, 10 (04)
[7] A new Marshall-Olkin generalized-k family of distributions with applications
Naz, Sidra
Tahir, M. H.
Jamal, Farrukh
Elgarhy, Mohammed
Shafiq, Shakaiba
Alsadat, Najwan
Nagarjuna, Vasili B. V.
PHYSICA SCRIPTA, 2024, 99 (12)
[8] A new class of defective models based on the Marshall-Olkin family of distributions for cure rate modeling
Rocha, Ricardo
Nadarajah, Saralees
Tomazella, Vera
Louzada, Francisco
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2017, 107 : 48 - 63
[9] Implementing Markovian models for extendible Marshall-Olkin distributions
Sloot, Henrik
DEPENDENCE MODELING, 2022, 10 (01): : 308 - 343
[10] The Burr III-Topp-Leone-G family of distributions with applications
Chipepa, Fastel
Oluyede, Broderick
Peter, O. Peter
HELIYON, 2021, 7 (04)

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