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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41269


    Title: Convergence theorems for the length of consecutive successes of markov bernoulli sequences
    Authors: 陳順益;Chen, Shun-yi;Wang, Y. H.;Chang, Hsiao-Fen
    Contributors: 淡江大學數學學系
    Date: 2003-09
    Issue Date: 2010-01-28 07:08:14 (UTC+8)
    Publisher: Applied Probability Trust
    Abstract: The limiting distributions of the sums of the lengths of four different kinds of runs of consecutive successes of Markov Bernoulli sequences are derived. It is shown that the limits are convolutions of several distributions involving the Bernoulli, the geometric and the Poisson or compound Poisson distributions.
    Relation: Journal of Applied Probability 40(3), pp.741-749
    DOI: 10.1239/jap/1059060899
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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