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概率P(X〉E(X))的估计问题
引用本文:张杰恒.概率P(X〉E(X))的估计问题[J].湖南大学学报(自然科学版),1993,20(4):1-5.
作者姓名:张杰恒
作者单位:湖南大学应用数学系
摘    要:

关 键 词:强相合估计  无偏估计  概率

On Estimation of the Probability P(X>E(X))
Zhang Jieheng.On Estimation of the Probability P(X>E(X))[J].Journal of Hunan University(Naturnal Science),1993,20(4):1-5.
Authors:Zhang Jieheng
Institution:Department of Applied Mathematics
Abstract:Let X_1, X_2,...X_n be independent and identically distributed samples deawn from a population x with distribution F. The estimation of the probability P(X> E(X))=1-F(E(X)) is discussed in this article. Some strong consistent estimators are proposed, and it is shown that no reasonable unbiased estimate exists. Some open problems are mentioned for further investigations.
Keywords:population  simple sample  strong consistent estimate  unbiased estimate
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