New answers tagged bayesian
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Probability apple is delicious given a red apple is produced in a green apple orchard?
Using conditional probability:
Given two events $~E_1~$ and $~E_2,~$
you have that
$$p(E_1) \times p(E_2 ~| ~E_1) = p(E_1,E_2) \implies
p(E_2 ~| ~E_1) = \frac{p(E_1,E_2)}{p(E_1)}. \tag1 $$
Let
$E_1~$...
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Measuring departure between the posterior predictive distribution and the true data generating distribution
Some random remarks:
Statistics questions, unless dealing with heavy probability theory, are probably much better directed at stats.stackexchange.com.
Your question
Suppose, I am trying to measure ...
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Likelihood of Bayes' theorem
Your question makes me believe that you are starting to learn statistics:
Welcome aboard, good luck and bon courage! It's a tricky field but there many interesting problems in there.
A key ...
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Accepted
Computing the posterior distribution in a Bayesian analysis of a normal linear regression model
$\beta \mid \nu, y, X$
We only need to get that by a proportionality factor that is unimportant, i.e., anything not involving $\beta$ is unimportant. In other words, we don't need the "$=$" ...
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Kalman Filter: Sequential Updates vs Simultaneous updates
The wikipedia page is only correct if the $N$ measurements are independent. The information filter does work the same as the kalman filter.
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