Economics - Research Publications

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Author: STACHURSKI, JOHN × Author: Van, Cuong Le × End date: 2006 × Start date: 2004 × Type: Preprint ×

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    Equivalent conditions for irreducibility of discrete time Markov chains
    Van, Cuong Le ; STACHURSKI, JOHN ( 2004-02)
    We consider discrete time Markov chains on generalstate space. It is shown that a certain property referred to hereas nondecomposability is equivalent to irreducibility, and that aMarkov chain with invariant distribution is irreducible if and only ifthe invariant distribution is unique and assigns positive probabilityto all absorbing sets.