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Use of the Likelihood Ratio Test on the Uniform Distribution
Author(s) -
Shoukri Mohamed M.
Publication year - 1982
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710240711
Subject(s) - likelihood ratio test , mathematics , statistics , likelihood principle , exponential distribution , exponential family , distribution (mathematics) , score test , statistic , gamma distribution , test statistic , statistical hypothesis testing , maximum likelihood , likelihood function , mathematical analysis , quasi maximum likelihood
In this article we give a simple procedure to determine the exact distribution of the likelihood ratio test of a statistical hypothesis regarding the parameter of the uniform distribution. The resulting distribution will be shown to serve as an approximation to the distribution of the likelihood ratio statistic for testing the equality of scale parameters of k independent Exponential populations.