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平方误差损失下若干联合单侧预检验估计量的抽样表现AI 解读

IN MANY AREAS OF SCIENCE, when drawing conclusions concerning a set of phenomena, individual or linear combinations of parameters are assumed to be nonnegative, nonpositive, or to lie between upper and lower bounds. Likewise, many functions are assumed to be monotonic, convex, or quasiconvex. Consequently, questions naturally arise as to the correctness of the assumptions and, within the context of statistical inference, how to evaluate the evidence against these assumptions…

区间上线性回归的锐单侧置信界AI 解读

Sharp one-sided confidence bounds of the hyperbolic SchefÉfc type are computed and tabulated for linear regression over intervals. Width of a one-sided interval is defined as distance from the estimated regression line to the end of the interval. Average width of the bounds derived is compared to that of sharp one-sided constant-width bounds of Gafarian and to the conservative Scheffe bounds. Numerical comparisons in cases of particular practical interest indicate the value…

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涉及两个随机变量的贝叶斯序贯设计AI 解读

Sequential sampling is considered wherein, at each trial, the experimenter can choose to stop and take some action or else to perform one of two related experiments. An approximation to an asymptotically optimum decision rule is shown to be easily defined in practice and to be a Bayes rule in some cases. Average risks of this and other sequential design rules are compared.