Abstract
In this paper, we consider the distribution of life length of a series system with random number of components, say M. Considering the distribution of M as COM–Poisson, a Weibull–COM–Poisson distribution (WCOMP) is developed. The COM–Poisson is a generalization of the Poisson distribution having one extra parameter. The structural properties of the resulting distribution are presented and the maximum likelihood estimation of the parameters is investigated. Extensive simulation studies are carried out to study the performance of the estimates. A score test is developed to test the importance of the extra parameter. For illustration, three real data sets are examined and it is shown that the WCOMP model, presented here, fits better than the exponential Poisson and the exponential-COMP distributions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
