Fuzzy Estimation of Parameters in Statistical Models

Using a set of confidence intervals, we develop a common approach, to construct a fuzzy set as an estimator for unknown parameters in statistical models. We investigate a method to derive the explicit and unique membership function of such fuzzy estimators. The proposed method has been used to derive the fuzzy estimators of the parameters of a Normal distribution and some functions of parameters of two Normal distributions, as well as the parameters of the Exponential and Poisson distributions.

Authors:

• A. Falsafain
• S. M. Taheri
• M. Mashinchi

Keywords:

• Confidence interval. Fuzzy number. Fuzzy estimation.

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