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alexandr1967 [171]
4 years ago
13

What condition on the probability distribution is necessary and sufficient in order that a limiting distribution exist, and what

is this limiting distribution?
Mathematics
1 answer:
Sholpan [36]4 years ago
5 0

Answer:

The Markov chain is a description of the sequence of possible events in which the probability of an event depends only on the state attained in a previous separate event.

Step-by-step explanation:

The relation described by the Markov chain satisfies the following conditions:

1. All states communicate with themselves, that is P₁₁⁰ = 1 ≥ 0

2. There must be symmetry: if i←→j, then j ←→i

3. There must be transitivity. That is if i ←→k and k←→j, then i←→j

The conditions above imply that the communication is an example of an equivalence relation, meaning that it shares the properties with the more familiar relation, that is

i = i , if i = j ,then j = i etc

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