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有序位置或尺度参数的区间估计与同时选择AI 解读

A formulation is given and a procedure is proposed for constructing a confidence interval for a certain ordered location or scale parameter and for simultaneously selecting all populations having parameters equal or larger than this ordered parameter with a preassigned minimal probability. The well-known indifference-zone formulation of the ranking problem is obtained as a special case as is the problem of interval estimation of an ordered parameter.

最大复相关系数的选择：渐近情形AI 解读

Selection of t largest from among k independent multiple correlation coefficients, , is provided by a procedure with the property that the probability of a correct selection is not smaller than a preassigned P* whenever the t largest θ i (1) exceed each remaining θ i by a magnitude δ1, and, simultaneously, (2) each θ i is at least δ2 times as large as each remaining θ i . The separation thresholds, 0 < δ1 < 1 and δ2 > 1 are also preassigned. Several applications are…

多个分布中最大 α 分位数的无分布区间估计AI 解读

A procedure based on order statistics is given for the interval estimation of the largest α-quantile of several continuous distributions. Results on infimum of coverage probability are obtained for one-sided and two-sided intervals. An optimality criterion is proposed and an algorithm is given for two-sided intervals. Large sample approximations are also considered.

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