Power study of goodness of fit tests for the Rayleigh distribution based on the empirical distribution function with application to real data | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 2، دوره 6، شماره 3، 2025، صفحه 205-215 اصل مقاله (510.44 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2024.22768.1193 | ||
| نویسندگان | ||
| Hadi Alizadeh Noughabi* 1؛ Mohammad Shafaei Noughabi2 | ||
| 1Department of Statistics, University of Birjand, Birjand, Iran | ||
| 2Department of Mathematics and Statistics, University of Gonabad, Gonabad, Iran | ||
| چکیده | ||
| The Rayleigh distribution is widely used to model events that occur in different fields such as medicine and natural sciences. In this article, we suggest some test statistics for examining the Rayleigh goodness of fit based on the empirical distribution function. Critical points and power of the tests are obtained by Monte Carlo simulation. We show that the proposed tests have a good performance against different alternatives and therefore these tests can be confidently used in practice. Finally, the proposed tests are illustrated by real data examples. | ||
| کلیدواژهها | ||
| Rayleigh distribution؛ Goodness of fit tests؛ Monte Carlo simulation؛ Critical values؛ Power of test | ||
| مراجع | ||
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