Bayes' theorem 是概率論中的一個基本定理,幫助「概率」這一學(xué)科建立起了和「數(shù)學(xué)」之間的關(guān)聯(lián)肌厨,在實際運用中也可以用來描述人的直覺,Harold Jeffreys 把 Bayes' theorem 類比為幾何學(xué)中的畢達哥拉斯定理
Bayes’ theorem is named after Reverend Thomas Bayes (1701–1761), who first provided an equation that allows new evidence to update beliefs in his An Essay towards solving a Problem in the Doctrine of Chances (1763). It was further developed by Pierre-Simon Laplace, who first published the modern formulation in his 1812 "Théorie analytique des probabilités". Sir Harold Jeffreys put Bayes’ algorithm and Laplace's formulation on an axiomatic basis. Jeffreys wrote that Bayes' theorem "is to the theory of probability what the Pythagorean theorem is to geometry".
Bayes 沒有覺得這個定理有那么重要,他死后親戚們找他的朋友 Richard Price 看看在遺物里面有沒有什么可以發(fā)表的東西杯瞻,才不小心找到了這個定理~
Julia Galef 的一個簡單介紹,關(guān)于 Bayes' theorem 在生活中的運用:
https://www.youtube.com/watch?v=BrK7X_XlGB8
Ve先生的講解里面融入了一些他自己的觀點是己,確實又兵,Bayes' theorem 雖然可以幫你逐漸的接近真相,但是無法解決根本性的「變革」問題:
https://www.youtube.com/watch?v=R13BD8qKeTg
對這個定理的講解比較好的視頻:
https://www.youtube.com/watch?v=OqmJhPQYRc8
P(A|B) = P(A ∩ B)/P(B) 的推導(dǎo):
https://www.youtube.com/watch?v=cwADSMeiIoE