Minimax test for fuzzy hypotheses

Abbas Parchami, S. Mahmoud Taheri (), Reinhard Viertl and Mashaallah Mashinchi
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Abbas Parchami: Shahid Bahonar University of Kerman
S. Mahmoud Taheri: University of Tehran
Reinhard Viertl: Vienna University of Technology
Mashaallah Mashinchi: Shahid Bahonar University of Kerman

Statistical Papers, 2018, vol. 59, issue 4, No 21, 1623-1648

Abstract: Abstract In hypotheses testing, such as other statistical problems, we may confront imprecise concepts. One case is a situation in which the hypotheses of interest are imprecise. In this paper, we recall and redefine some concepts about testing fuzzy hypotheses and then we provide a minimax approach to the problem of testing fuzzy hypotheses by using crisp (non-fuzzy) data. We give some illustrative/numerical examples, by which we study the effect of fuzziness by using the power functions of minimax tests.

Keywords: Testing hypotheses; Fuzzy hypotheses; Minimax procedure; Neyman–Pearson Lemma; Loss function (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00362-017-0926-4

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