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Abstract
Test statistics based on likelihood function, order statistics, population quantiles are suggested to discriminate between log-logistic distribution and Rayleigh distribution. Because of non tractability of their exact sampling distributions, the percentiles of the proposed test statistics are tabulated with the help of simulated sampling distributions of the test statistics. The power of the test statistics are also tabulated and a comparative study w.r.t. the powers for a given sample and the level of signicance are worked out.
Keywords
log-logistic distribution(LLD)
Rayleigh distribution(RD)
likelihood function
order statistics
quantiles
power of the test .
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Boyapati, S. R., & Kantam, R. (2014). DISCRIMINATING BETWEEN LOG-LOGISTIC AND RAYLEIGH DISTRIBUTIONS. Pakistan Journal of Statistics and Operation Research, 10(1), 1-7. https://doi.org/10.18187/pjsor.v10i1.615