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Thread: Is it possible that a Markov chain can consist of all absorbing states ?

  1. September 20th 2012, 11:59 AM #1
    mathlearn
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    Is it possible that a Markov chain can consist of all absorbing states ?

    Is it possible that a Markov chain can consist of all absorbing states ?
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  2. September 20th 2012, 06:13 PM #2
    harish21
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    Re: Is it possible that a Markov chain can consist of all absorbing states ?

    Quote Originally Posted by mathlearn View Post
    Is it possible that a Markov chain can consist of all absorbing states ?
    state j is an absorbing state if P(j,j)=1 and P(j,k)=0;\text{where}\;j\neq k

    think of a matrix that satisfies the conditions above
    Last edited by harish21; September 20th 2012 at 06:21 PM.
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  3. September 20th 2012, 08:21 PM #3
    mathlearn
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    Re: Is it possible that a Markov chain can consist of all absorbing states ?

    so a markov chain can consists of all absorbing states, right ?
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  4. September 20th 2012, 08:54 PM #4
    harish21
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    Re: Is it possible that a Markov chain can consist of all absorbing states ?

    Quote Originally Posted by mathlearn View Post
    so a markov chain can consists of all absorbing states, right ?
    of course
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« is itpossible to transition from 1 non-absorbing state to another non-absorbing state | Is it correct or incorrect that "all Markov chains have steady-state probabilities" ? »

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