A generalized gamma distribution and its application in reliability

被引：68

作者：

Agarwal, SK ^{[1
]}

Kalla, SL ^{[1
]}

机构：

[1] KUWAIT UNIV,FAC SCI,DEPT STAT & OR,KUWAIT,KUWAIT

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1996年 / 25卷 / 01期

关键词：

displacement parameter; generalized gamma distribution; generalized gamma function; generalized incomplete gamma function; hazard function;

D O I：

10.1080/03610929608831688

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 generalization of gamma distribution is defined by slightly modifying the form of Kobayashi's generalized gamma function (1991). Its possible application in reliability theory, to study displacement phenomenon of the corrosion problem in a new machine or metal fatigue, is discussed. A few well known probability distributions are shown to be its particular cases. Hazard function, mean, variance etc are worked out for generalized gamma distribution.

引用

页码：201 / 210

页数：10

共 10 条

[1]

Abramowitz M., 1970, HDB MATH FUNCTIONS

[2]

Bondesson L., 1992, GENERALIZED GAMMA CO

[3]

BRADELEY M, 1988, THEORY METHOD, V17, P507

[4] ON GENERALIZED GAMMA-FUNCTIONS OCCURRING IN DIFFRACTION THEORY [J].

KOBAYASHI, K .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1991, 60 (05) :1501-1512

[5]

LEE MLT, 1991, J STAT PLAN INFER, V29, P137

[6] MULTIVARIATE DISTRIBUTIONS FOR THE LIFE LENGTHS OF COMPONENTS OF A SYSTEM SHARING A COMMON ENVIRONMENT [J].

LINDLEY, DV ;

SINGPURWALLA, ND .

JOURNAL OF APPLIED PROBABILITY, 1986, 23 (02) :418-431

[7]

PRENTICE RL, 1974, BIOMETRIKA, V61, P539, DOI 10.1093/biomet/61.3.539

[8]

Prudnikov A. P., 1992, Direct Laplace transforms, V4

[9]

SRIVASTAVA J, 1989, COMMUN STATIS THEORY, P1031

[10] GENERALIZATION OF GAMMA DISTRIBUTION [J].

STACY, EW .

ANNALS OF MATHEMATICAL STATISTICS, 1962, 33 (03) :1187-&

← 1 →