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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41422

    Title: An Efficient Algorithm for Exact Distribution of Discrete Scan Statistics
    Authors: Ebneshahrashoob, Morteza;Gao, Tangan;吳孟年;Wu, Meng-nien
    Contributors: 淡江大學數學學系
    Keywords: i.i.d. Bernoulli trials;two-state Markov dependent trials;waiting time random variables probability generating functions;success runs
    Date: 2005-12-01
    Issue Date: 2010-01-28 07:31:57 (UTC+8)
    Publisher: New York: Springer New York LLC
    Abstract: Waiting time random variables and related scan statistics have a wide variety of interesting and useful applications. In this paper, exact distribution of discrete scan statistics for the cases of homogeneous two-state Markov dependent trials as well as i.i.d. Bernoulli trials are discussed by utilizing probability generating functions. A simple algorithm has been developed to calculate the distributions. Numerical results show that the algorithm is very efficient and is capable of handling large problems.
    Relation: Methodology and Computing in Applied Probability 7(4), pp.459-471
    DOI: 10.1007/s11009-005-5003-0
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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