A LOG LINEAR-MODEL FOR THE BIRNBAUM-SAUNDERS DISTRIBUTION

被引：176

作者：

RIECK, JR ^{[1
]}

NEDELMAN, JR ^{[1
]}

机构：

[1] SUNY ALBANY,DEPT BIOMETRY & STAT,ALBANY,NY 12222

来源：

TECHNOMETRICS | 1991年 / 33卷 / 01期

关键词：

BIAS APPROXIMATION; FATIGUE LIFE; ITERATIVE LEAST SQUARES; LEAST SQUARES; MAXIMUM LIKELIHOOD;

D O I：

10.2307/1269007

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：

The Birnbaum-Saunders distribution was derived to model times to failure for metals subject to fatigue. In this article, we formulate and develop a log-linear model for the Birnbaum-Saunders distribution. The model may be used for accelerated life testing or to compare the median lives of several populations. Methods of analyzing data for this log-linear model are discussed, with maximum likelihood and least squares methods being compared. It is found that, for commonly occurring conditions, the notorious intractability of the Birnbaum-Saunders distribution is not a serious problem because least squares and normal-theory procedures provide a reasonable alternative.

引用

页码：51 / 60

页数：10

共 50 条

[31] Estimation of the parameters of the Birnbaum-Saunders distribution
From, Steven G.
Li, Linxiong
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2006, 35 (12) : 2157 - 2169
[32] A Birnbaum-Saunders accelerated life model
Owen, WJ
Padgett, WJ
IEEE TRANSACTIONS ON RELIABILITY, 2000, 49 (02) : 224 - 229
[33] Inference in a bimodal Birnbaum-Saunders model
Fonseca, Rodney V.
Cribari-Neto, Francisco
MATHEMATICS AND COMPUTERS IN SIMULATION, 2018, 146 : 134 - 159
[34] Multivariate Birnbaum-Saunders regression model
Lemonte, Artur J.
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2013, 83 (12) : 2244 - 2257
[35] A bivariate Birnbaum-Saunders regression model
Vilca, Filidor
Romeiro, Renata G.
Balakrishnan, N.
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2016, 97 : 169 - 183
[36] Birnbaum-Saunders sample selection model
Bastos, Fernando de Souza
Barreto-Souza, Wagner
JOURNAL OF APPLIED STATISTICS, 2021, 48 (11) : 1896 - 1916
[37] Fast Bayesian Inference for Birnbaum-Saunders Distribution
Mahdi Teimouri
Computational Statistics, 2023, 38 : 569 - 601
[38] ON AN EXTREME VALUE VERSION OF THE BIRNBAUM-SAUNDERS DISTRIBUTION
Ferreira, Marta
Ivette Gomes, M.
Leiva, Victor
REVSTAT-STATISTICAL JOURNAL, 2012, 10 (02) : 181 - +
[39] On Birnbaum-Saunders inference
Cysneiros, Audrey H. M. A.
Cribari-Neto, Francisco
Araujo, Carlos A. G., Jr.
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2008, 52 (11) : 4939 - 4950
[40] A Note on the Birnbaum-Saunders Conditionals Model
Arnold, Barry C.
Gallardo, Diego I.
Gomez, Hector W.
SYMMETRY-BASEL, 2021, 13 (05):

← 1 2 3 4 5 →