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.
Alizadeh Noughabi, H., & Shafaei Noughabi, M. (2024). 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, (), -. doi: 10.22060/ajmc.2024.22768.1193
MLA
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". AUT Journal of Mathematics and Computing, , , 2024, -. doi: 10.22060/ajmc.2024.22768.1193
HARVARD
Alizadeh Noughabi, H., Shafaei Noughabi, M. (2024). '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, (), pp. -. doi: 10.22060/ajmc.2024.22768.1193
VANCOUVER
Alizadeh Noughabi, H., Shafaei Noughabi, M. 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, 2024; (): -. doi: 10.22060/ajmc.2024.22768.1193