DISCRIMINATING BETWEEN LOG-LOGISTIC AND RAYLEIGH DISTRIBUTIONS

Srinivas Rao Boyapati, R.R.L. Kantam

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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DOI: http://dx.doi.org/10.18187/pjsor.v10i1.615

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Title

DISCRIMINATING BETWEEN LOG-LOGISTIC AND RAYLEIGH DISTRIBUTIONS

Keywords

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

Description

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.

Date

2014-05-15

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 10 No. 1, 2014



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810