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bayesian_statistics [2019/10/02 20:15]
floyd
bayesian_statistics [2019/10/03 11:21] (current)
floyd
Line 36: Line 36:
  
 Once we accept the relationships between the probabilities we can easily rearranged the system to the classical Bayesian equation ​ Once we accept the relationships between the probabilities we can easily rearranged the system to the classical Bayesian equation ​
 +$$P(M|D) P(D) = P(M) \cap P(D) = P(D|M) P(M)\mbox{,​}$$
 $$P(M|D) P(D) = P(D|M) P(M)\mbox{,​}$$ $$P(M|D) P(D) = P(D|M) P(M)\mbox{,​}$$
 $$P(M|D) = \frac{P(D|M) P(M)}{P(D)}\mbox{.}$$ $$P(M|D) = \frac{P(D|M) P(M)}{P(D)}\mbox{.}$$
 +The probability of the model (or hypothesis) given the data can be calculated from the probability of the data and a prior probability of the model. ​
  
 Let's bring this into our example. ​ Let's bring this into our example. ​
bayesian_statistics.txt ยท Last modified: 2019/10/03 11:21 by floyd