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Likelihood ratio tests for fuzzy hypotheses testing
Authors:Hamzeh Torabi  Javad Behboodian
Institution:(1) Department of Mathematics, Yazd University, Yazd, Iran;(2) Department of Statistics, Shiraz University, Shiraz, Iran
Abstract:In hypotheses testing, such as other statistical problems, we may confront imprecise concepts. One case is a situation in which hypotheses are imprecise. In this paper, we recall and redefine some concepts about fuzzy hypotheses testing, and then we introduce the likelihood ratio test for fuzzy hypotheses testing. Finally, we give some applied examples.
Keywords:Fuzzy hypothesis  critical region  probability of type I and II errors  likelihood function  maximum likelihood estimator  likelihood ratio test
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