An extended fatigue life distribution

被引：14

作者：

Cordeiro, Gauss M. ^{[1
]}

Lemonte, Artur J. ^{[2
]}

Ortega, Edwin M. M. ^{[3
]}

机构：

[1] Univ Fed Pernambuco, Dept Estat, Recife, PE, Brazil

[2] Univ Sao Paulo, Dept Estat, Sao Paulo, Brazil

[3] Univ Sao Paulo, Dept Ciencias Exatas, Sao Paulo, Brazil

来源：

STATISTICS | 2013年 / 47卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

BirnbaumSaunders distribution; Kumaraswamy distribution; maximum-likelihood estimation; McDonald distribution; regression model; INCOMPLETE BESSEL-FUNCTIONS; SAUNDERS; FAMILY; TESTS; PARAMETERS; INFERENCE; GAMMA; MODEL; SIZE;

D O I：

10.1080/02331888.2011.617447

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A five-parameter extended fatigue life model called the McDonaldBirnbaumSaunders (McBS) distribution is proposed. It extends the BirnbaumSaunders and beta BirnbaumSaunders [G.M. Cordeiro and A.J. Lemonte, The -BirnbaumSaunders distribution: An improved distribution for fatigue life modeling. Comput. Statist. Data Anal. 55 (2011), pp. 14451461] distributions and also the new KumaraswamyBirnbaumSaunders distribution. We obtain the ordinary moments, generating function, mean deviations and quantile function. The method of maximum likelihood is used to estimate the model parameters and its potentiality is illustrated with an application to a real fatigue data set. Further, we propose a new extended regression model based on the logarithm of the McBS distribution. This model can be very useful to the analysis of real data and could give more realistic fits than other special regression models.

引用

页码：626 / 653

页数：28

共 41 条

[1] [Anonymous], 2009, Stat. Methodol, DOI DOI 10.1016/J.STAMET.2008.04.001
[2] ESTIMATION FOR A FAMILY OF LIFE DISTRIBUTIONS WITH APPLICATIONS TO FATIGUE
BIRNBAUM, ZW
SAUNDERS, SC
[J]. JOURNAL OF APPLIED PROBABILITY, 1969, 6 (02) : 328 - &
[3] A NEW FAMILY OF LIFE DISTRIBUTIONS
BIRNBAUM, ZW
SAUNDERS, SC
[J]. JOURNAL OF APPLIED PROBABILITY, 1969, 6 (02) : 319 - &
[4] On estimation and influence diagnostics for log-Birnbaum-Saunders Student-t regression models: Full Bayesian analysis
Cancho, Vicente G.
Ortega, Edwin M. M.
Paula, Gilberto A.
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2010, 140 (09) : 2486 - 2496
[5] A GENERAL-PURPOSE APPROXIMATE GOODNESS-OF-FIT TEST
CHEN, GM
BALAKRISHNAN, N
[J]. JOURNAL OF QUALITY TECHNOLOGY, 1995, 27 (02) : 154 - 161
[6] A new family of generalized distributions
Cordeiro, Gauss M.
de Castro, Mario
[J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2011, 81 (07) : 883 - 898
[7] The β-Birnbaum-Saunders distribution An improved distribution for fatigue life modeling
Cordeiro, Gauss M.
Lemonte, Artur J.
[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2011, 55 (03) : 1445 - 1461
[8] Estimation of parameters for a Birnbaum-Saunders regression model with censored data
Desmond, Anthony F.
Rodriguez-Yam, Gabriel A.
Lu, Xuewen
[J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2008, 78 (11) : 983 - 997
[9] Doornik J. A., 2006, OBJECT ORIENTED MATR
[10] Beta-normal distribution and its applications
Eugene, N
Lee, C
Famoye, F
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2002, 31 (04) : 497 - 512

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