Goodness of fit tests for Rayleigh distribution based on Phi-divergence

In this paper, we develop some goodness of fit tests for Rayleigh distribution based on Phi-divergence. Using Monte Carlo simulation, we compare the power of the proposed tests with some traditional goodness of fit tests including Kolmogorov-Smirnov, Anderson-Darling, and Cramer Von-Mises tests. The...

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Bibliographic Details
Main Authors: Mahdi Mahdizadeh, Ehsan Zamanzade
Format: Article
Language:English
Published: Universidad Nacional de Colombia 2017-07-01
Series:Revista Colombiana de Estadística
Subjects:
Online Access:https://revistas.unal.edu.co/index.php/estad/issue/view/4760
Description
Summary:In this paper, we develop some goodness of fit tests for Rayleigh distribution based on Phi-divergence. Using Monte Carlo simulation, we compare the power of the proposed tests with some traditional goodness of fit tests including Kolmogorov-Smirnov, Anderson-Darling, and Cramer Von-Mises tests. The results indicate that the proposed tests perform well as compared with their competing tests in the literature. Finally, the proposed procedures are illustrated via a real data set.
ISSN:0120-1751
0120-1751