Mustansiriyah Journal of Pure and Applied Sciences

Coherent system reliability stress-strength model of chen distribution

Ali Mutair Attia

Nada Sabah Karam

Saad Shakir mahmood

Keywords: Coherent System, Stress-Strength Reliability, Chen Distribution

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Abstract

This research presented reliability formula for multicomponent stress-strength of coherent system, based on Chen Distribution with unknown parameters and known common parameter . Three methods discussed for estimating the parameters of Chen distribution that used to estimate the reliability function using Maximum Likelihood, Pitman and Least Square Methods. These estimates are compared via a simulation study using mean square error criteria to large, medium and small samples. The comparison’s most important results are that the estimator performs of the maximum likelihood is better in most of the experiments that have been studied.