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bayesian_statistics [2019/10/03 03:15]
floyd
bayesian_statistics [2019/10/03 18:21] (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.1570072507.txt.gz ยท Last modified: 2019/10/03 03:15 by floyd