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  • 标题:Cramér-Rao Lower Bound for Fuzzy-Valued Random Variables
  • 本地全文:下载
  • 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.
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