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Tagged with conditional-independence markov-process
3
questions
1
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What is the most elegant way to express conditional independence on a line graph?
Consider a Markov graph
$$x_1 -x_2-x_3-...-x_t$$
In such a graphical model, we have the conditional independence property $x_{s-1} \perp x_{s+1:t} | x_s \;\forall\; x=2,...,t-1$ and $x_{1:s-1} \perp ...
- 565
2
votes
1
answer
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Is this even possible?
How is this possible:
If $P (Z|Y, X) = P(Z|Y)$ AND $P(X|Y,Z)= P(X|Y)$
How can these two be equal: $$P (Z|Y,X) = P(X|Y,Z)$$
- 23
1
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Sampling with fixed probability from two different distributions. How is the sample distributed?
Let
$(\Omega,\mathcal A,\operatorname P)$ be a probability space
$\mu$ be a probability measure on $(\mathbb R,\mathcal B(\mathbb R))$
$X$ be real-valued random variable on $(\Omega,\mathcal A,\...
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