…Also known as Bayes' theorem, named after the British mathematician Thomas Bayes (1702-61). The whole is divided into mutually exclusive events H 1 , H 2 , …, H k , …, which represent possible hypotheses. Suppose an event E is observed. When H i occurs (its probability P ( H i ) is not 0), the conditional probability P ( E / H i ) of E is expressed as P ( E ∩ H i ) / P ( H i ), and from the hypotheses, Therefore, by calculating the probability, we obtain … *Some of the terminology that mentions "Bayes, T." is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…ベーズの定理ともいい,イギリスの数学者ベーズThomas Bayes(1702‐61)にちなむ。全体が排反事象H1,H2,……,Hk,……に分かれていて,それらは起こりうる仮定を表しているとする。このときEという事象が観測されたとしよう。Hiが起こったとき(その確率P(Hi)は0でないとする)Eの条件付き確率P(E/Hi)は, P(E∩Hi)/P(Hi)で表され,また仮定から,だから,確率の計算,により,を得る。… ※「Bayes,T.」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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