A Modified Anderson Darling Goodness of fit Test for the Generalized Rayleigh Distribution | ||
| The Egyptian Statistical Journal | ||
| Article 2, Volume 53, Issue 1, June 2009, Pages 14-27 PDF (4.7 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.2009.234849 | ||
| Author | ||
| Amal M. Abd-Elfattah* | ||
| Institute of Statistical Studies & Research, Cairo University, Egypt | ||
| Abstract | ||
| A Modified Anderson Darling Goodness of fit Test for the Generalized Rayleigh Distribution in the case where the parameters are estimated from the sample. Critical values are generated using a Monte Carlo simulation procedure with 10,000 repetitions each. Random samples of 10 different sizes were drawn from generalized Rayleigh distribution with different values of shape parameter. Fitted response functions for the critical values of based on the sample size and the shape parameter values are reported to avoid using a vest array of tables. This is followed by a power comparison using Monte Carlo methods at 5% and 1% significance levels for different sample size | ||
| Keywords | ||
| Anderson Darling test; Generalized Rayleigh; Maximum Likelihood; Monte Carlo simulation; Power function | ||
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