Math, asked by aburewatkar1118, 1 year ago

State & prove Chapman - kolmogrov equations for Markov Chain.

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Answered by gurmandon
0

which class question is this??person

Answered by rahul8198
0

Suppose Xn,n=0,1,2,3,..... is a homogeneous Markov Chain. Then

Pm+nij=∑kPmikPnkj

That is, the conditional probability that the Markov Chain goes from state i to state j in m+n steps is equal to the sum of the conditional probabilities of reaching an intermediary state k in m steps and from k reaching state j in n steps. That is

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