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An asymptotic \(\alpha\)-test for the expectation of random fuzzy variables. (English) Zbl 0976.62013

Summary: An asymptotic \(\alpha\)-test of hypotheses about the fuzzy expectation with respect to fuzzy data is obtained with the help of a central limit theorem. The asymptotical distribution of the distance between the sample mean and the fuzzy expectation is used to calculate the quantiles. The asymptotical distribution is an \(\omega^2\)-distribution. An explicit expression for the density function is obtained for tests with LR-fuzzy numbers.

MSC:

62F05 Asymptotic properties of parametric tests
62E15 Exact distribution theory in statistics
62F03 Parametric hypothesis testing
03E72 Theory of fuzzy sets, etc.
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