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Likelihood ratio tests for fuzzy hypotheses testing

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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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Authors and Affiliations

  1. Department of Mathematics, Yazd University, Yazd, Iran

    Hamzeh Torabi

  2. Department of Statistics, Shiraz University, Shiraz, Iran

    Javad Behboodian

Authors
  1. Hamzeh Torabi
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  2. Javad Behboodian
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Torabi, H., Behboodian, J. Likelihood ratio tests for fuzzy hypotheses testing. Statistical Papers 48, 509–522 (2007). https://doi.org/10.1007/s00362-006-0352-5

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  • DOI: https://doi.org/10.1007/s00362-006-0352-5

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