bayesian_statistics

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bayesian_statistics [2019/10/02 20:15] floyd |
bayesian_statistics [2019/10/03 11:21] (current) floyd |
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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