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.

• 本文讨论了概率P(X>E(X))=1-F(E(X))的估计问题；提出了一些强相合估计；同时也就证明了不存在合理的无偏估计.