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The probability that an event A will occur, when another event B is known to occur or to have occurred. It is commonly denoted by P(A|B).
2
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If I have a table of conditional probability values can I find any joint distribution value?
If my table is $(KV)^2$ where $K$ is the number of states and $V$ is the number of variables. Thus, I have the conditional probability for any 2 variables. Is it possible to find the joint distributio …
1
vote
Accepted
how to calculate the evidence in a hybrid bayesian network
In probability theory, marginalizing any discrete random variable $X$ requires one to sum over the probability mass function of the joint probabilities over all values of $X$. When $X$ is continuous, …
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votes
Accepted
Factoring a joint posterior
As Vimal points out my mistake was writing,
$$Pr(\theta_1 \mid \theta_2, y)*Pr(\theta_2 \mid y) \propto Pr(y \mid \theta_1, \theta_2) *Pr(\theta_1 \mid \theta_2) * Pr(\theta_2 \mid y)$$
When factorin …
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answer
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Factoring a joint posterior
Suppose the joint posterior density for parameters $(\theta_1, \theta_2)$ can be expressed as
\begin{align} \Pr(\theta_1, \theta_2 \mid y) &\propto Pr(y \mid \theta_1, \theta_2) *Pr(\theta_1, \theta_ …