An Approximation for the Sampling Distribution of an Estimate Arising in Life Testing | ||
| The Egyptian Statistical Journal | ||
| Article 5, Volume 29, Issue 2, December 1985, Pages 73-79 PDF (5.09 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.1985.316598 | ||
| Author | ||
| S. K. Ashour | ||
| Institute of Statistical Studies & Research, Cairo University, Egypt | ||
| Abstract | ||
| Using censored type I and exponential model, the exact sampling distribution of the maximum likelihood estimate of the unknown parameter is quite complicated so an approximation to its distribution is needed. A simulation study and Pearson system will be used to fit a suitable distribution using different sample sizes and censored items. This study confirms the fact that a Pearson type I distribution can adequately approximate the sampling distribution in different cases. | ||
| Keywords | ||
| Censored Samples; Exponential; Weighted Sum of Chi Square; Maximum Likelihood; Pearson Type I; Monte Carlo Simulation | ||
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