Bayes' rule

In probability theory and applications, Bayes's rule relates the odds of event $A_1$ to the odds of event $A_2$ , before (prior to) and after (posterior to) conditioning on another event $B$ . The odds on $A_1$ to event $A_2$ is simply the ratio of the probabilities of the two events. The prior odds is the ratio of the unconditional or prior probabilities, the posterior odds is the ratio of conditional or posterior probabilities given the event $B$ . The relationship is expressed in terms of the likelihood ratio or Bayes factor, $\Lambda$ . By definition, this is the ratio of the conditional probabilities of the event $B$ given that $A_1$ is the case or that $A_2$ is the case, respectively. The rule simply states: posterior odds equals prior odds times Bayes factor (Gelman et al., 2005, Chapter 1).

单词	Bayesian theorem
释义	Bayesian theorem 英语百科 Bayes' rule In probability theory and applications, Bayes's rule relates the odds of event $A_1$ to the odds of event $A_2$ , before (prior to) and after (posterior to) conditioning on another event $B$ . The odds on $A_1$ to event $A_2$ is simply the ratio of the probabilities of the two events. The prior odds is the ratio of the unconditional or prior probabilities, the posterior odds is the ratio of conditional or posterior probabilities given the event $B$ . The relationship is expressed in terms of the likelihood ratio or Bayes factor, $\Lambda$ . By definition, this is the ratio of the conditional probabilities of the event $B$ given that $A_1$ is the case or that $A_2$ is the case, respectively. The rule simply states: posterior odds equals prior odds times Bayes factor (Gelman et al., 2005, Chapter 1).
随便看	Ruffiac的意思 ruffian的意思 ruffian的意思 ruffian的意思 ruffianish的意思 ruffianism的意思 ruffian的意思 ruffianize的意思 ruffianlike的意思 ruffianly的意思 ruffianosity的意思 ruffian的意思 ruffian的意思 ruffianship的意思 ruffie的意思 ruff的意思 Ruffieu的意思 Ruffieux的意思 Ruffigne的意思 Ruffin的意思 ruffing的意思 Ruffini的意思 ruffini brushes的意思 Ruffini corpuscle的意思 Ruffini corpuscles的意思

Bayesian theorem

Bayes' rule