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平移或尺度参数的容许置信区间与点估计AI 解读

Sufficient conditions for admissibility of the best invariant confidence interval for a translation or scale parameter are given, for a very wide class of loss functions. These conditions result by adapting a theorem of L. D. Brown [2]. Simpler sufficient conditions are found for a subclass of loss functions of special interest. The subclass of losses involves three components. One concerned with coverage of the true value, another concerned with the distance from the…

正态分布方差的改进置信区间AI 解读

In considering the problem of confidence estimation for the variance of a normal distribution, Tate and Klett [5] raise two questions. “Does the interval of shortest length based on (, S2) depend only on ” (S2 denotes the sum of squared deviations.) “Among those intervals based only on S2 is the interval of shortest length necessarily of the form ” The answer to the first question is no; to the second, yes. The results are given for the general linear hypothesis model of…

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