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    Order Determination for Probabilistic Functions of Finite Markov Chains

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    MS_87-4.pdf (626.1Kb)
    No. of downloads: 283

    Date
    1987
    Author
    Finesso, Lorenzo
    Advisor
    Baras, John S.
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    Abstract
    Let {Y sub t} be a stationary stochastic process with values in the finite set YY. We model {Y sub t} as a probabilistic function of a finite state Markov Chain {X sub t} i.e. X sub t is such that: P[Y sub t | X sup t, Y sup t-1] = P[Y sub t | X sub t] Define the cardinality of the state space of {X sub t} as the order of the model. The problem is to determine the order given the observations {y sub 1, y sub 2, y sub T}. We show that under mild conditions on the probability distribution function P sub Y (.) of {Y sub t} the order is identifiable and can be consistently determined from the data.
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    http://hdl.handle.net/1903/4726
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