Abstract
Two popular models Rayleigh and gamma (2) distributions are considered to verify whether one can be an alternative to the other. The cumulative distribution function of gamma (2) is not analytically tractable, whereas for Rayleigh distribution is tractable which motivated for the study. Test statistics based on likelihood ratio is suggested to discriminate between Rayleigh and gamma (2) models. The percentiles and power of the proposed test statistics were also tabulated, and a comparison was made with respect to the power for a given sample and level of significance.
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