The uniformly minimum variance unbiased fuzzy estimators of fuzzy parameter based on fuzzy random variables. | [Pakistan Journal of Statistics • 2008]

Author(s):

1. Mohammad Ghasem Akbari: Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

2. Abdolhamid Rezai: Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

Abstract:

In point estimation, such as other statistical problems, we may confront imprecise concepts. One case is a situation in which observations and parameter are fuzzy. The concept for fuzzy estimators of fuzzy parameters in fuzzy random variables is proposed in this paper. We proposes a new method for uniformly minimum variance unbiased fuzzy (UMVUF) estimation. For this purpose we will make use of a uniformly minimum variance unbiased (UMVU) estimator and we will develop this new method for a fuzzy random sample X1,X2,…,Xn, is induced by X1,X2,…,Xn on the same probability space.

Page(s): 179-191

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 24, Issue: 3, Year: 2008

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