Bayes Prediction for the Number of Failures in Mixed Exponential Population | ||
| The Egyptian Statistical Journal | ||
| Article 7, Volume 44, Issue 2, December 2000, Pages 193-218 PDF (10.96 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.2000.313835 | ||
| Author | ||
| D. R. Rashwan* | ||
| 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. | ||
| Keywords | ||
| Time; Censored Life Test Data; One; Two; Sample Prediction; Variable Sample Size; Trinomial Distribution | ||
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