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文章基本信息

  • 标题:Assigning probabilities to hypotheses in the context of a binomial distribution
  • 本地全文:下载
  • 作者:Casper J. Albers ; Otto J. W. F. Kardaun ; Willem Schaafsma
  • 期刊名称:Brazilian Journal of Probability and Statistics
  • 印刷版ISSN:0103-0752
  • 出版年度:2016
  • 卷号:30
  • 期号:1
  • 页码:127-144
  • DOI:10.1214/14-BJPS264
  • 语种:English
  • 出版社:Brazilian Statistical Association
  • 摘要:Given is the outcome $s$ of $S\sim{\mathrm{B}}(n,p)$ ($n$ known, $p$ fully unknown) and two numbers $0}(s)$ of the hypotheses $\mathrm{H}_{<}$: $p}$: $p>b$, such that their sum is equal to 1. The degenerate case $a=b(=c)$ is of special interest. A method, optimal with respect to a class of functions, is derived under Neyman–Pearsonian restrictions, and applied to a case from medicine.
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