Let ? denote an I ? J matrix of cell probabilities for the joint distribution of X

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Let ? denote an I ? J matrix of cell probabilities for the joint distribution of X and Y. Suppose that there exist I ? 1 column vectors ?1k and J ? 1 column vectors ?2k of probabilities, k = 1,...,q, and a set of probabilities {?k} such that

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Explain why this implies that there is a latent variable Z such that X and Y are conditionally independent, given Z.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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