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Alizadeh Noughabi, Hadi, Shafaei Noughabi, Mohammad. (1404). Power study of goodness of fit tests for the Rayleigh distribution based on the empirical distribution function with application to real data. نشریه مهندسی عمران امیرکبیر, 6(3), 205-215. doi: 10.22060/ajmc.2024.22768.1193
Hadi Alizadeh Noughabi; Mohammad Shafaei Noughabi. "Power study of goodness of fit tests for the Rayleigh distribution based on the empirical distribution function with application to real data". نشریه مهندسی عمران امیرکبیر, 6, 3, 1404, 205-215. doi: 10.22060/ajmc.2024.22768.1193
Alizadeh Noughabi, Hadi, Shafaei Noughabi, Mohammad. (1404). 'Power study of goodness of fit tests for the Rayleigh distribution based on the empirical distribution function with application to real data', نشریه مهندسی عمران امیرکبیر, 6(3), pp. 205-215. doi: 10.22060/ajmc.2024.22768.1193
Alizadeh Noughabi, Hadi, Shafaei Noughabi, Mohammad. Power study of goodness of fit tests for the Rayleigh distribution based on the empirical distribution function with application to real data. نشریه مهندسی عمران امیرکبیر, 1404; 6(3): 205-215. doi: 10.22060/ajmc.2024.22768.1193

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
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