文章基本信息

标题：Cramér-Rao Lower Bound for Fuzzy-Valued Random Variables
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作者：Hamzeh TORABI
期刊名称：Austrian Journal of Statistics
出版年度：2006
卷号：35
期号：04
页码：471-471
出版社：Austrian Statistical Society
摘要：In some point estimation problems, we may confront imprecise (fuzzy) concepts. One important case is a situation where all observations are fuzzy rather than crisp. In this paper, using fuzzy set theory, we define a fuzzy-valued random variable, a fuzzy unbiased estimator, a fuzzy exponential family, and then we state and prove a Cram¡äer-Rao lower bound for such fuzzy estimators. Finally, we give some examples.
关键词：Unbiased Estimator, Fuzzy Exponential Family, Cauchy-Schwartz Inequality.