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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.


log-logistic distribution(LLD) Rayleigh distribution(RD) likelihood function order statistics quantiles power of the test .

Article Details

Author Biography

Srinivas Rao Boyapati, R.V.R & J.C College of Engineering Chowdavaram, Guntur- 522 019 Andhra Pradesh India

Associate  Professor
How to Cite
Boyapati, S. R., & Kantam, R. (2014). DISCRIMINATING BETWEEN LOG-LOGISTIC AND RAYLEIGH DISTRIBUTIONS. Pakistan Journal of Statistics and Operation Research, 10(1), 1-7.