Likelihood ratio tests for fuzzy hypotheses testing |
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Authors: | Hamzeh Torabi Javad Behboodian |
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Institution: | (1) Department of Mathematics, Yazd University, Yazd, Iran;(2) Department of Statistics, Shiraz University, Shiraz, Iran |
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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. |
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Keywords: | Fuzzy hypothesis critical region probability of type I and II errors likelihood function maximum likelihood estimator likelihood ratio test |
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