The Transmuted Marshall-Olkin Extended Lomax Distribution

被引：1

作者：

da Silva, Renilma P. ^{[1
,2
]}

Cysneiros, Audrey Helen M. A. ^{[1
]}

Cordeiro, Gauss M. ^{[1
]}

Tablada, Claudio Javier ^{[3
]}

机构：

[1] Univ Fed Pernambuco, Ctr Ciencias Exatas & Nat, Dept Estat, Cidade Univ S-N, BR-50740540 Recife, PE, Brazil

[2] Univ Fed Rio Grande do Norte, Ctr Ensino Super Serido, Dept Ciencias Exatas & Aplicadas, Rua Joaquim Gregorio S-N, BR-59300000 Caico, RN, Brazil

[3] Univ Fed Paraiba, Ctr Ciencias Exatas & Nat, Dept Estat, Cidade Univ S-N, BR-58051900 Joao Pessoa, Paraiba, Brazil

来源：

ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS | 2020年 / 92卷 / 03期

关键词：

generalized distribution; Lifetime analysis; Lomax distribution; Marshall-Olkin extended; transmuted family; FAMILY; PARAMETER;

D O I：

10.1590/0001-3765202020180777

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：

The transmuted family of distributions has been receiving increased attention over the Last few years. In this paper, we generalize the Marshall-Olkin extended Lomax distribution using the quadratic rank transmutation map to obtain the transmuted Marshall-Olkin extended Lomax distribution. Several properties of the new distribution are discussed including the hazard rate function, ordinary and incomplete moments, characteristic function and order statistics. We provide an estimation procedure by the maximum likelihood method and a simulation study to assess the performance of the new distribution. We prove empirically the flexibility of the new model by means of an application to a real data set. It is superior to other three and four parameter Lifetime distributions.

引用

页码：1 / 24

页数：24

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