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序贯检验后次要参数的置信区间AI 解读

Summary In sequential studies, formal interim analyses are usually restricted to a consideration of a single null hypothesis concerning a single parameter of interest. Valid frequentist methods of hypothesis testing and of point and interval estimation for the primary parameter have already been devised for use at the end of such a study. However, the completed data set may warrant a more detailed analysis, involving the estimation of parameters corresponding to effects that…

序贯检验结束后最大似然估计的偏差AI 解读

The bias of maximum likelihood estimates calculated at the end of a sequential procedure is investigated. For the two sequential designs considered in detail, the sequential probability ratio test and the triangular test, this bias is appreciable. A method of calculating an adjusted estimate with reduced bias is described, and an approximation to the standard error of the new estimate is provided. Examples of the implementation of the method are given, and its advantages and…

序贯检验后最大似然估计的偏差AI 解读

The bias of maximum likelihood estimates calculated at the end of a sequential procedure is investigated. For the two sequential designs considered in detail, the sequential probability ratio test and the triangular test, this bias is appreciable. A method of calculating an adjusted estimate with reduced bias is described, and an approximation to the standard error of the new estimate is provided. Examples of the implementation of the method are given, and its advantages and…

某些复合假设的序贯检验AI 解读

Summary A sequential procedure is developed to distinguish between null and alternative hypotheses of the type H 0: θ ≤ θ0 and H 1: θ ≥ θ1 (θ0 ≤ θ1) for one-parameter exponential families in such a way that the risks of type I and type II errors are smaller than some predetermined bounds. This is accomplished using observations of a sequence of random variables whose distribution is known up to the parameter θ, and involves the theory of certain tests with power one. The…