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Discussion on 'Likelihood Ratio Identities and Their Applications to Sequential Analysis' by Tze L. Lai

机译:黎子on论“似然比身份及其在序贯分析中的应用”

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摘要

Professor Lai has to be congratulated for the excellent review about the development of sequential analysis since the pioneering work of Wald. The paper shows the strong influence of Wald's results on future generations and it describes major improvements obtained in the meantime to which Professor Lai has contributed in a leading position. Moreover, it contians a remarkable new result about the asymptotic optimality of the generalized likelihood ratio methods. I want to add some remarks from the perspective of a researcher working in the area of statistical process control (SPC). There are many possibilities to assess a control scheme. Of course, it is desirable to work exclusively with optimal charts. Optimality results depend heavily on the performance criterion taken for the comparison of the schemes.
机译:自Wald的开创性工作以来,赖教授对顺序分析的发展进行了出色的评论,对此表示祝贺。该论文展示了Wald的研究结果对子孙后代的强大影响,并描述了赖教授在此期间所取得的重大进步。此外,它为广义似然比方法的渐近最优性带来了令人瞩目的新结果。我想从研究人员的角度对统计过程控制(SPC)领域进行一些评论。评估控制方案有很多可能性。当然,最好只使用最佳图表。最优结果在很大程度上取决于用于比较方案的性能标准。

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  • 来源
    《Sequential analysis》 |2004年第4期|p.531-535|共5页
  • 作者

    Wolfgang Schmid;

  • 作者单位

    Department of Statistics, European-University Viadrina, Grosse Scharrnstr. 59, 15230 Frankfurt (Oder), Germany;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 统计学;
  • 关键词

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