The odd log-logistic generalized half-normal lifetime distribution: Properties and applications

被引：15

作者：

Cordeiro, Gauss M. ^{[1
]}

Alizadeh, Morad ^{[2
]}

Pescim, Rodrigo R. ^{[3
]}

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

机构：

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

[2] Persian Gulf Univ, Dept Stat, Bushehr, Iran

[3] Univ Sao Paulo, Dept Ciencias Exatas, Ave Padua Dias 11,Caixa Postal 9, BR-13418900 Piracicaba, SP, Brazil

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2017年 / 46卷 / 09期

关键词：

Generalized half-normal distribution; Maximum likelihood estimation; Odd log-logistic generalized family; Survival data; EXPONENTIATED WEIBULL FAMILY; GAMMA-DISTRIBUTION; BIRNBAUM-SAUNDERS; BETA; BATHTUB;

D O I：

10.1080/03610926.2015.1080841

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：

Cooray and Ananda (2008) pioneered a lifetime model commonly used in reliability studies. Based on this distribution, we propose a new model called the odd log-logistic generalized half-normal distribution for describing fatigue lifetime data. Various of its structural properties are derived. We discuss the method of maximum likelihood to fit the model parameters. For different parameter settings and sample sizes, some simulation studies compare the performance of the new lifetime model. It can be very useful, and its superiority is illustrated by means of a real dataset.

引用

页码：4195 / 4214

页数：20

共 32 条

[1] HOW TO IDENTIFY A BATHTUB HAZARD RATE
AARSET, MV
[J]. IEEE TRANSACTIONS ON RELIABILITY, 1987, 36 (01) : 106 - 108
[2] Generalized beta-generated distributions
Alexander, Carol
Cordeiro, Gauss M.
Ortega, Edwin M. M.
Maria Sarabia, Jose
[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2012, 56 (06) : 1880 - 1897
[3] A GENERAL-PURPOSE APPROXIMATE GOODNESS-OF-FIT TEST
CHEN, GM
BALAKRISHNAN, N
[J]. JOURNAL OF QUALITY TECHNOLOGY, 1995, 27 (02) : 154 - 161
[4] A generalization of the half-normal distribution with applications to lifetime data
Cooray, Kahadawala
Ananda, Malwane M. A.
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2008, 37 (09) : 1323 - 1337
[5] Generalization of the Weibull distribution: the odd Weibull family
Cooray, Kahadawala
[J]. STATISTICAL MODELLING, 2006, 6 (03) : 265 - 277
[6] Cordeiro G.M., 2012, Journal of Data Science, V10, P195, DOI DOI 10.6339/JDS.201204_10(2).0003
[7] Cordeiro G. M., 2014, J STAT COMPUT SIM, V47, P626
[8] An extended fatigue life distribution
Cordeiro, Gauss M.
Lemonte, Artur J.
Ortega, Edwin M. M.
[J]. STATISTICS, 2013, 47 (03) : 626 - 653
[9] The exponentiated generalized gamma distribution with application to lifetime data
Cordeiro, Gauss M.
Ortega, Edwin M. M.
Silva, Giovana O.
[J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2011, 81 (07) : 827 - 842
[10] 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

← 1 2 3 4 →