Bayes Prediction for the Number of Failures in Mixed Exponential Population

Document Type : Original Article

Author

Derartment of Mathematical Statistics, Institute of Statistical Studies & Research

Abstract

This paper deals with the problem of predicting the number of components which fail in a future time interval in the case where the failure population is a mixture of two exponential distributions and sampling is censored at a predetermined test termination time. The joint predictive distribution of the number of failures from each sub-population and the corresponding marginal distributions are derived. Both the one-sample and the two-sample prediction problems have been considered. Sample sizes are taken as random variables having the Poisson distribution. Numerical examples are provided to illustrate the predictive procedures.
 

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