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Probability Decomposition--please help

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caryover

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Can someone help me please to solve the following equation?

(θ,I)=arg max p(r|θ,d,I)p(θ)Πp(Ik|dk)

where, rk=c0dkhk+Σdlhlc(l-k)mod N+ηk

the limit of sum is l=0,1...N-1 but l≠k

where can I find this type of probability decomposition equation?

Thanks in advance..
 

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