Flexible Birnbaum-Saunders Distribution

被引：6

作者：

Martinez-Florez, Guillermo ^{[1
]}

Barranco-Chamorro, Inmaculada ^{[2
]}

Bolfarine, Heleno ^{[3
]}

Gomez, Hector W. ^{[4
]}

机构：

[1] Univ Cordoba, Fac Ciencias Basicas, Dept Matemat & Estat, Cordoba 230027, Colombia

[2] Univ Seville, Dept Estat & Invest Operat, Seville 41000, Spain

[3] Univ Sao Paulo, Dept Estat, IME, BR-01000 Ime, SP, Brazil

[4] Univ Antofagasta, Fac Ciencias Basicas, Dept Matemat, Antofagasta 1240000, Chile

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 10期

关键词：

flexible skew-normal distribution; skew Birnbaum-Saunders distribution; bimodality; maximum likelihood estimation; Fisher information matrix; LIFE DISTRIBUTIONS; FAMILY; MODEL; EXTENSION;

D O I：

10.3390/sym11101305

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：

In this paper, we propose a bimodal extension of the Birnbaum-Saunders model by including an extra parameter. This new model is termed flexible Birnbaum-Saunders (FBS) and includes the ordinary Birnbaum-Saunders (BS) and the skew Birnbaum-Saunders (SBS) model as special cases. Its properties are studied. Parameter estimation is considered via an iterative maximum likelihood approach. Two real applications, of interest in environmental sciences, are included, which reveal that our proposal can perform better than other competing models.

引用

页数：18

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[8] On Multivariate Log Birnbaum-Saunders Distribution
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[J]. BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, 2013, 27 (02) : 133 - 149

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