TESTING STATISTICAL HYPOTHESES UNDER FUZZY DATA AND BASED ON A NEW SIGNED DISTANCE

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AREFI M.

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Journal: Iranian Journal of Fuzzy Systems Year:2018 | Volume:15 | Issue:3 Page(s): 153-176

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Information Journal Paper

Title

TESTING STATISTICAL HYPOTHESES UNDER FUZZY DATA AND BASED ON A NEW SIGNED DISTANCE

Author(s)

AREFI M. | Issue Writer Certificate

Keywords

FUZZY DATAQ2

FUZZY TEST STATISTICQ2

SIGNED DISTANCEQ2

STATISTICAL HYPOTHESISQ2

TESTING HYPOTHESISQ2

Abstract

This paper deals with the problem of testing statistical hypotheses when the available data are fuzzy. In this approach, we first obtain a FUZZY TEST STATISTIC based on FUZZY DATA, and then, based on a new SIGNED DISTANCE between fuzzy numbers, we introduce a new decision rule to accept/reject the hypothesis of interest. The proposed approach is investigated for two cases: the case without nuisance parameters and the case with nuisance parameters. This method is employed to test the hypotheses for the mean of a normal distribution with known/unknown variance, the variance of a normal distribution, the difference of means of two normal distributions with known/unknown variances, and the ratio of variances of two normal distributions.

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APA: Copy

AREFI, M.. (2018). TESTING STATISTICAL HYPOTHESES UNDER FUZZY DATA AND BASED ON A NEW SIGNED DISTANCE. IRANIAN JOURNAL OF FUZZY SYSTEMS, 15(3 ), 153-176. SID. https://sid.ir/paper/113252/en

Vancouver: Copy

AREFI M.. TESTING STATISTICAL HYPOTHESES UNDER FUZZY DATA AND BASED ON A NEW SIGNED DISTANCE. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2018;15(3 ):153-176. Available from: https://sid.ir/paper/113252/en

IEEE: Copy

M. AREFI, “TESTING STATISTICAL HYPOTHESES UNDER FUZZY DATA AND BASED ON A NEW SIGNED DISTANCE,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 15, no. 3 , pp. 153–176, 2018, [Online]. Available: https://sid.ir/paper/113252/en

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