Sampling Distribution for Some Goodness of Fit Tests for Two Parameter Weibull Distribution Using Censored Samples | ||
| The Egyptian Statistical Journal | ||
| Article 7, Volume 34, Issue 1, June 1990, Pages 193-206 | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.1990.315037 | ||
| Authors | ||
| Samir Kamel Ashour; Sarhan Hussein Sarhan; Moustapha Mohamed Ali | ||
| Abstract | ||
| This paper is concerned with a numerical derivation of the sampling distributions of the Kolmogorov-Smirnov (K-S) and Cramer-Von Mises (CVM) tests for two parameter Weibull distribution using censored samples. For small and moderate sample sizes, Pearson system and Monte Carlo technique proved that the sampling distributions for the two test statistics are Pearson type II with different parameters. Tables of complete beta function can be used to obtain critical values for the two tests. Results in the case of complete samples may be considered as special cases of the present results. | ||
| Keywords | ||
| Censored Samples; Cramer-Von Mises Test; Kolmogorov-Smirnov Test; Sampling Distribution; Two Parameter Weibull Distribution | ||
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