Properties of a multivariate survival distribution generated by a Weibull and inverse-Gaussian mixture

Author

Jaisingh, Lloyd R. ; Dey, Dipak K. ; Griffith, William S.

Author_Institution

Dept. of Math. Sci., Morehead State Univ., KY, USA

Volume

42

Issue

4

fYear

1993

fDate

12/1/1993 12:00:00 AM

Firstpage

618

Lastpage

622

Abstract

The authors consider the influence of the work environment on a system of nonrenewable components. The failure times for the components are Weibull distributed and the work environment has an inverse Gaussian distribution. A multivariate Weibull and inverse Gaussian mixture distribution is derived. Several pertinent properties for this multivariate distribution are discussed that shed some light on the nature of the distribution. The authors account for the operating environment and its changing nature by averaging over a parameter corresponding to the environment. The distribution is applied to find the mean number of components working at some mission time and the reliability for k-out-of-n components

Keywords

failure analysis; probability; reliability theory; Weibull distribution; failure times; inverse Gaussian distribution; k-out-of-n components; mission time; multivariate survival distribution; nonrenewable components; reliability; work environment; Environmental factors; Gaussian distribution; Hazards; Inverse problems; Reliability theory; Shape; Statistical analysis; Statistical distributions; Testing; Weibull distribution;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/24.273591

Filename

273591