conditional independence

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If, for each value of the variable C, the variables A and B are independent of one another, then they are said to exhibit conditional independence. If the variables are categorical, with pjkl denoting the probability of an outcome in cell (j, k, l), then A and B are conditionally independent, given the category of C, if and only if , for all j, k, and l, where pj0l=∑kpjkl, p0kl=∑jpjkl, and p00l=∑jkpjkl.

Subjects: Probability and Statistics.

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