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Math Help - Is it possible that a Markov chain can consist of all absorbing states ?

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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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    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 07:21 PM.
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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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    MHF Contributor harish21's Avatar
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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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