Goodness of fit tests for Nakagami distribution based on smooth tests
Deniz Özonur, Fikri Gökpınar, Esra Gökpınar, Hülya Bayrak · Communication in Statistics- Theory and Methods · 2016
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.