Goodness of fit tests for Nakagami distribution based on smooth tests

Deniz Özonur, Fikri Gökpınar, Esra Gökpınar and Hülya Bayrak

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 7, 1876-1886

Abstract: Nakagami distribution is one of the most common distributions used to model positive valued and right skewed data. In this study, we interest goodness of fit problem for Nakagami distribution. Thus, we propose smooth tests for Nakagami distribution based on orthonormal functions. We also compare these tests with some classical goodness of fit tests such as Cramer–von Mises, Anderson–Darling, and Kolmogorov–Smirnov tests in respect to type-I error rates and powers of tests. Simulation study indicates that smooth tests give better results than these classical tests give in respect to almost all cases considered.

Date: 2016
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DOI: 10.1080/03610926.2013.867998

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