Bayes' Theorem

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#Statistics #Bayesian

Bayes’ Theorem is stated as

$$ P(A\mid B) = \frac{P(B \mid A) P(A)}{P(B)} $$

  1. $P(A\mid B)$: likelihood of A given B
  2. $P(A)$: marginal probability of A

There is a nice tree diagram for the Bayes’ theorem on Wikipedia.

Tree diagram of Bayes’ theorem

Tree diagram of Bayes’ theorem

Planted: by ;

References:
  1. Tree Diagram of Bayes Theorem @ Wikipedia
Dynamic Backlinks to cards/statistics/bayes-theorem:
Naive Bayes
Naive Bayes
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Bayesian Linear Regression
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cards/statistics/bayes-theorem Links to:
Likelihood
Likelihood is not necessarily a pdf

L Ma (2019). 'Bayes' Theorem', Datumorphism, 06 April. Available at: https://datumorphism.leima.is/cards/statistics/bayes-theorem/.