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Uniform Distribution With Fuzzy Parameter

S. Sampath, L. Pephine Renitta


In this paper a hybrid distribution, namely the distribution of a random variable having uniform distribution over the interval where is a triangular fuzzy variable is considered. Expressions for the chance distribution function of the hybrid variable as well as its first three moments are obtained. In addition to that the process of estimating the unknown parameters involved in the distribution using a method which is an extension of the method of moments available in statistical theory is explained with a supportive illustration.


Chance Distribution, Membership Function, Moments, Empirical Membership Function, Empirical Moments, Method of Moments.

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