Inverse Gaussian Model and Its Applications in Reliability and Survival Analysis

被引:17
作者
Lemeshko, Boris Yu. [1 ]
Lemeshko, Stanislav B. [1 ]
Akushkina, Kseniya A. [1 ]
Nikulin, Mikhail S. [2 ]
Saaidia, Noureddine [2 ,3 ,4 ]
机构
[1] Novosibirsk State Tech Univ, Novosibirsk, Russia
[2] IMB, Victor Segalen Univ, Bordeaux, France
[3] IMB, Victor Segalen Univ, Bordeaux, France
[4] Univ Badji Mokhtar, Annaba, Algeria
来源
MATHEMATICAL AND STATISTICAL MODELS AND METHODS IN RELIABILITY: APPLICATIONS TO MEDICINE, FINANCE, AND QUALITY CONTROL | 2010年
基金
俄罗斯基础研究基金会;
关键词
Inverse Gaussian distribution; Generalized Weibull distribution; Hazard rate function; Goodness-of-fit test; Composite hypotheses; RRN statistic; Nonparametric goodness-of-fit tests; Kolmogorov test; Cramer-Mises-Smirnov test; Anderson-Darling test; Computer simulation; Power of the test; Reliability; Survival analysis; OF-FIT TESTS; CENSORED-DATA; GOODNESS; HYPOTHESES;
D O I
10.1007/978-0-8176-4971-5_33
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Statistical properties of the parametric family of inverse Gaussian distributions are studied. Different goodness-of-fit tests for this family are compared. Some applications of the inverse Gaussian model in survival analysis and reliability are considered.
引用
收藏
页码:433 / +
页数:3
相关论文
共 28 条
[1]  
AGUIRRE N, 1994, KYBERNETIKA, V30, P214
[2]  
[Anonymous], 1999, The Inverse Gaussian Distribution: Statistical Theory and Applications
[3]  
[Anonymous], 1974, Commun. Stat, DOI [DOI 10.1080/03610927408827216, 10.1080/03610927408827216]
[4]  
[Anonymous], 1983, Tables of Mathematical Statistics
[5]  
[Anonymous], 1973, Theory Probab. Appl, DOI [DOI 10.1137/1118069, 10.1137/1118069]
[6]   Statistical analysis of redundant systems with 'warm' stand-by units [J].
Bagdonavicius, V. ;
Masiulaityte, I. ;
Nikulin, M. .
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2008, 80 (2-3) :115-128
[7]  
BAGDONAVICIUS V, 2010, MATH STAT METHODS RE
[8]  
BAGDONAVICIUS V, 2008, MATH METHODS SURVIVA, P189
[9]  
BAGDONAVICIUS V, 2009, ADV DEGRADATION MODE, P293
[10]  
BOLSHEV LN, 1987, THEORY PROBABILITY M, P5