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AI 根据所提供的论文材料归类:摘要研究通用序贯检验与停止规则,没有明确对应所列应用领域细分。

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关注这篇论文的作者
Xiaoping Xiong

一类序贯条件概率比检验

研究问题
如何设计序贯检验,使其最大样本量不超过功效近似相同的固定样本检验,同时降低期望样本量并保持决策高度一致?
方法与思路
作者提出序贯条件概率比检验及组序贯版本,通过控制随机桥在停止边界上的吸收概率确定偏转因子与停止边界。
材料陈述的贡献
摘要称该方法兼顾最大样本量限制、接近 Wald 序贯检验的期望样本量效率,以及与参考固定样本检验的低决策分歧。
阅读关注点
核对功效近似与决策一致性的衡量方式、边界计算及组大小选择规则,并区分一般构想与二元分布中的技术结果。
阅读边界
仅据 OpenAlex 索引摘要,稿件版本未注明;实例和技术讨论主要限于二元分布,具体误差控制及近似幅度未提供。

原文摘要

A new class of sequential testing procedures, sequential conditional probability ratio tests (SCPRT's), is proposed. These procedures have the property of having a maximum sample size no larger than a fixed-sample test with an almost identical power function. The efficiency of the SCPRT, in terms of expected sample size, is close to that of Wald's SPRT. Group sequential testing procedures derived from the SCPRT are not restricted to the choices of group sizes and number of groups. At the same time, the SCPRT, the group-SCPRT, and the reference fixed sample size test (RFSST) are agreeable in the sense of having very small probability of leading to different rejection/acceptance results. For the SCPRT or the group-SCPRT, stopping boundaries are decided by appropriate deflection factors determined by controlling absorption probabilities of a random bridge on the SCPRT boundaries. In this article the basic idea for the SCPRT is introduced in a general setup. But examples and technical discussions are restricted mainly to dichotomous distributions, in which the power functions and expected sample sizes for the sequential procedures can be easily computed by a method developed by Xiong.

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