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Some asymptotic properties of point estimation with n-dimensional fuzzy data
Authors:Dabuxilatu Wang
Affiliation:Department of Mathematics , Inner Mongolia University for Nationalities , Tong Liao, 028043, People's Republic of China E-mail: dbxlt0@yahoo.com
Abstract:Some asymptotic properties of point estimation with n-dimensional fuzzy data with respect to a special L 2-metric ρ are investigated in this article. It is shown that the collection of all n-dimensional fuzzy data endowed with the ρ-metric is a complete and separable space. Some criterions for point estimation in such fuzzy environments are proposed, and the sample mean, variance and covariance with n-dimensional fuzzy data under these criteria are further studied.
Keywords:Fuzzy random variables  Support function  Random fuzzy data  Point estimation
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