Estimation of reliability in a parallel system with random sample size

In this paper, we derive the distribution of life length of a parallel system with random number of components when the life distribution of each component follows a Weibull distribution and the number of components follows a Poisson distribution truncated at zero. For two independent such parallel...

Full description

Saved in:
Bibliographic Details
Published in:Mathematics and computers in simulation 2012-09, Vol.83, p.44-55
Main Authors: Gupta, Ramesh C., Ghitany, M.E., Al-Mutairi, D.K.
Format: Article
Language:English
Subjects:
Maximum likelihood estimation
Random sample size
Simulation study
Weibull distribution
Zero-truncated Poisson distribution
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we derive the distribution of life length of a parallel system with random number of components when the life distribution of each component follows a Weibull distribution and the number of components follows a Poisson distribution truncated at zero. For two independent such parallel systems, we are interested in the estimation of the reliability parameter R=P(X>Y), where X and Y are the life lengths of the two parallel systems. The point estimate and confidence interval of R, based on maximum likelihood method, are developed. The performance of each of the point estimate and confidence interval of R is studied through extensive simulation study. A numerical example, based on a real data, is presented to illustrate the implementation of the proposed procedure.
ISSN:0378-4754
1872-7166
DOI:10.1016/j.matcom.2012.06.017