What is Bayes' Theorem?

Bayes' theorem is a theorem about the conditional probability (or edge probability) of random events A and B. Where P (A | B) is the probability that A will occur if B occurs.

Bayes' theorem

Bayes' theorem is about

People make inferences and decisions based on uncertain information.

The Bayes formula (published in 1763) is:

This is the famous "Bayes' theorem". In some literatures, P (B [1]) and P (B [2]) are called the basic probability, and P (AB [1]) is the hit rate. (AB [2]) is the false positive rate [1] ^[2]

Bayes (1701-1761) Thomas Bayes, English mathematician. Born in London in 1701, he was a priest. Member of the Royal Society in 1742. He died on April 7, 1761. Bayesian research in probability focuses on mathematics. He first applied inductive reasoning to the basic theory of probability theory, and founded the Bayesian statistical theory, which contributed to statistical decision functions, statistical inference, and statistical estimation. In 1763, Richard Price published and published the results of Bayesian "An Essay towards solving a Problem in the Doctrine of Chances" ^[3] , which is very important for modern probability theory and mathematical statistics. Bayes's other book, An Introduction to the Doctrine of Opportunity, was published in 1758. Many of the terms used by Bayes are still in use today. ^[4]