Absorbing states of a markov chain, Mathematics

Explain the Absorbing States of a markov chain.

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Aana 2/12/2013 5:25:27 AM A state S_i (I = 1, 2, 3 ...) of a markov chain is named as absorbing whether the system remains in the state, S_i once it enters there. Hence a state, S_i is absorbing if and only if the i^th row of the transition matrix p has a 1 on the major diagonal and zeroes everywhere else.

Aana

2/12/2013 5:25:27 AM

A state S_i (I = 1, 2, 3 ...) of a markov chain is named as absorbing whether the system remains in the state, S_i once it enters there. Hence a state, S_i is absorbing if and only if the i^th row of the transition matrix p has a 1 on the major diagonal and zeroes everywhere else.

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