Abstract

The aim of this article is to discuss homogeneity testing of the Rayleigh distribution and relate it to homogeneity testing in exponential family. In particular, we simulate and discuss the power of exact likelihood ratio test of homogeneity against the three-components subpopulation alternative (ELR3). This article also deals with robust testing for normality. We introduce the general RT class of robust tests for normality and present and discuss the power of selected RT tests against alternative distributions that are known to be problematic for the Jarque-Bera test - bimodal, uniform and Weibull alternatives.

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