Power study of goodness of fit tests for the Rayleigh distribution based on the empirical distribution function with application to real data

Document Type : Original Article

Authors

1 Department of Statistics, University of Birjand, Birjand, Iran

2 Department of Mathematics and Statistics, University of Gonabad, Gonabad, Iran

Abstract

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.

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AUT Journal of Mathematics and Computing

Articles in Press, Accepted Manuscript
Available Online from 28 April 2024

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