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托马斯·贝叶斯对概率原理的证明尝试

The Attempt to Approve the Principle of Probability by Thomas Bayes
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摘要 从原著入手往往可以发现作者的本意,对托马斯贝叶斯思想的解读也不例外。作为向经验学习的一种规范性理论,贝叶斯关注的是逆推理问题。从贝叶斯的基本概念——概率的两个定义入手,结合Shafer的对该问题的论述,重新解读贝叶斯对概率原理的证明尝试。不管选择实施的机会变化中什么样的事件,然而贝叶斯构建的一次偶然事件B的持续出现将产生无限的增益。 Since people often approach the writer's own idea by studying his original works, so does the studies on Bayes'inference thought. As a normative theory to the experience, Bayes paid much attention to the Inverse in- ference problem. We start from the fundamental concepts, degree of beliefs and objective probability, and associate with the argument by Sharer to re -study and restitute the Bayes'approve to the Principle of Probability. Finally we found regardless of selecting what kind of events in opportunity change of implementation, an accidental event B's continuous emergence Bayesian constructed would lead to an unlimited gain
作者 程献礼
出处 《山西经济管理干部学院学报》 2015年第4期4-8,共5页 Journal of Shanxi Institute of Economic Management
基金 河南省教育厅人文社会科学研究项目"统计推理的逻辑哲学研究"(2014-GH-454) 河南大学科研基金项目(2013YBRW010)
关键词 概率原理 嵌套约定 贝叶斯命题 Principle of Probability nest contract Bayes'proposition
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  • 1詹姆士·普雷斯.贝叶斯统计学——原理、模型及应用[M].廖文,译.北京:中国统计出版社,1992.
  • 2Hacking I. Logic of Statistical Inference [ M ]. Cambridge: Cambridge University Press, 1965.
  • 3Edgeworth F Y. Observations and statistics [ M ]. [ S. l. ] : Cam Phil Trans Soc, 1885.
  • 4Finetti B D. Bayesianism:Its unifying role for both the foundations and applications of statistics [ J ]. Statis,1974,42.

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