【摘要】 本文考虑如下一类分布族:F(t)=[g(t)]θ,-∞A<t B,θ>0(1)其中g(t)是关于t单调递增的可微函数,且g(A)=0,g(B)=1.在共轭先验分布下研究了未知参数η=1θ的损失函数和风险函数的B ayes估计及其保守性质,并给出相应的B ayes估计的合理性.更多还原

【Abstract】 This paper considers a family of distribution:F(t)=~θ,-∞A<tB,θ>0,where g(t) is an increasing and derivative function,and g(A)=0,g(B)=1.Under the conjugate prior distribution,the Bayes estimators of the loss function and risk function for the estimators of unknown parameter 1θ of the distribution family.Then the property and the rationality of the Bayes estimators are discussed.更多还原