“Bayes’ theorem”的概念、定义、翻译、参考文献-科学参考

Bayes’ theorem

Physics

A theorem in probability theory giving the probability of an intersection of two or more sets as a product of the individual probabilities for each. It is used to calculate the probability that a particular event B_i has occurred when it is known that at least one of the set {B₁, B₂,…, B_n} has occurred and that another event A has also occurred. This conditional probability is written as P(B_i|A). If the probabilities of B₁, B₂,…, B_n and all of the conditional probabilities P(A|B_j) are known, then P(B_i|A) is given by

$P (B_{i}) P (A | B_{i})$

The theorem is named after the English mathematician Thomas Bayes (1702–61) and was published posthumously in 1763.

单词	Bayes’ theorem
释义	Bayes’ theorem Physics A theorem in probability theory giving the probability of an intersection of two or more sets as a product of the individual probabilities for each. It is used to calculate the probability that a particular event B_i has occurred when it is known that at least one of the set {B₁, B₂,…, B_n} has occurred and that another event A has also occurred. This conditional probability is written as P(B_i\|A). If the probabilities of B₁, B₂,…, B_n and all of the conditional probabilities P(A\|B_j) are known, then P(B_i\|A) is given by $P (B_{i}) P (A \| B_{i})$ The theorem is named after the English mathematician Thomas Bayes (1702–61) and was published posthumously in 1763.
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