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베이즈의 사전균등분포의 도입에 대한 변명

Bayes' Excuse for the Introduction of Prior Uniform Distribution

  • 투고 : 2022.11.05
  • 심사 : 2022.12.21
  • 발행 : 2022.12.31

초록

This study discusses in terms of historical genesis whether it is reasonable for Bayes to introduce a prior uniform distribution. In this study, we try to analyze the way he dealt with postulates, lemmas, and propositions in Bayes' essay and to understand its characteristics. The results of the study show that Bayes used random variables for two parameters and that the two random variables were converted to each other through cumulative distribution. Furthermore, it is revealed that the introduction of prior uniform distribution can be justified by this way.

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과제정보

이 연구는 2021학년도 영남대학교 학술연구조성비에 의한 것임.

참고문헌

  1. T. BAYES, An Essay toward Solving a Problem in the Doctrine of Chances, Philosophical Transactions of the Royal Society of London 53 (1763), 370-418.
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  8. S. B. MCGRAYNE, The Theory that Would not Die, Yale University Press, 2011. (translated by Lee, G. S., 2013).
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  11. S. M. STIGLER, The History of Statistics, Harvard University Press, 1986. (translated by Cho, J. G, 2002).