估计参数估计量的贝叶斯风险

Bulletin of Mathematical Statistics Pub Date : 1980-03-01 DOI:10.5109/13136

Hajime Yamato, 大和元

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引用次数: 1

摘要

对于2次的可估计参数，本文考虑02与h2，使得h2(x, x)和h2(x, x)对任意x, yEX =0。作为可估计参数的估计量，u统计量和可微统计函数是众所周知的。(例如，参见Hoeffding(1948)和von Mises(1947)。)对于1次可估计参数，u统计量与可变统计函数相同，可变统计函数由

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BAYES RISKS OF ESTIMATORS OF ESTIMABLE PARAMETERS

For the estimable parameter of degree 2, throughout this paper, we consider 02 with h2 such that h2(x, x) and h2(x, x)=0 for any x, yEX. As estimators of estimable parameters, U-statistics and differentiable statistical functions are well known. (See, for example, Hoeffding (1948) and von Mises (1947).) For an estimable parameter of degree 1, the U-statistic is identical with the differ entiable statistical function, which is given by

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Bulletin of Mathematical Statistics

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