On the stopping boundary for sequential selection of the normal population with the largest mean

F. P. A. Coolen

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On the stopping boundary for sequential selection of the normal population with the largest mean

机译：在均值最大的正态总体的顺序选择的停止边界上

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摘要

This paper provides an improved stopping boundary for open sequential selection of the normal population with the largest mean when all populations have common known variance. The proof relies on the theory of Brownian motion processes with drift.

机译：当所有总体具有相同的已知方差时，本文为平均数最大的正态总体的开放顺序选择提供了一种改进的停止边界。该证明依赖于带漂移的布朗运动过程理论。

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来源
《Statistica neerlandica》 |1997年第3期|356-365|共10页
作者
F. P. A. Coolen;
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作者单位

University of Durham Department of Mathematical Sciences Science Laboratories South Road Durham DH1 3LE England;

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原文格式 PDF
正文语种 eng
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关键词
Brownian motion with drift; indifference zone selection; open sequential selection;

机译：带漂移的布朗运动;差异区域选择;开放顺序选择;

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专利

1. ON APPROXIMATION OF OPTIMAL STOPPING OF BAYESIAN SEQUENTIAL TEST FOR A NORMAL MEAN [J] . Wan Fanghuan, Wu Xizhi Applied Mathematics. series B . 1995,第1期

机译：均值贝叶斯序列测试的最佳停止逼近
2. Approximately Optimal Continuous Stopping Boundaries in a One-Sided Standard Sequential Test [J] . Lan Ma Nygren Sequential analysis . 2009,第4期

机译：单面标准顺序测试中的近似最佳连续停止边界
3. Flexible implementations of group sequential stopping rules using constrained boundaries. [J] . Burington BE, Emerson SS Biometrics: Journal of the Biometric Society : An International Society Devoted to the Mathematical and Statistical Aspects of Biology . 2003,第4期

机译：使用约束边界的组顺序停止规则的灵活实现。
4. Optimal Multiple Stopping Rule for Warm-Starting Sequential Selection [C] . Mathilde Fekom, Nicolas Vayatis, Argyris Kalogeratos IEEE International Conference on Tools with Artificial Intelligence . 2019

机译：热启动顺序选择的最佳多重停止规则
5. Selection and testing designs for selecting one among k normal populations, provided it is better than a standard. [D] . Rollin, Linda M. 2002

机译：选择和测试设计，以从k个正常人群中选择一个，只要它比标准更好。
6. Optimality criteria for futility stopping boundaries for group sequential designs with a continuous endpoint [O] . Xieran Li, Carolin Herrmann, Geraldine Rauch 2020

机译：持续终点的无障碍停止边界的最优标准
7. A SEQUENTIAL SELECTION PLAN WITH PALY-THE-WINNER SAMPLING AND SUCCESSIVE SUCCESS STOPPING RULE IN A FINITE POPULATION [O] . Kuniyuki Jojima, Choichiro Asano 1980

机译：有限人口中可持续获胜者采样和连续成功停止规则的顺序选择计划
8. Truncation of the Bechhofer-Kiefer-Sobel Sequential Procedure for Selecting the Normal Population Which Has the Largest Mean (3): Supplementary Truncation Numbers and Resulting Performance Characteristics [R] . Bechhofer, R. E., Goldsman, D. M. 1989

机译：截断Bechhofer-Kiefer-sobel顺序程序选择具有最大均值的正态总体（3）：补充截断数和产生的性能特征

On the stopping boundary for sequential selection of the normal population with the largest mean

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