淡江大學機構典藏:Item 987654321/41318
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41318


    Title: A combinatorial problem from sooner waiting time problems with run and frequency quotas
    Authors: Gao, Tangan;吳孟年;Wu, Meng-nien
    Contributors: 淡江大學數學學系
    Keywords: Combinatorial counting problem;Multinomial coefficients;Markov dependent trials;Waiting time random variables;Probability generating functions
    Date: 2006-09-15
    Issue Date: 2010-01-28 07:18:01 (UTC+8)
    Publisher: Elsevier
    Abstract: In this paper, we study the problem of finding the number of integer solutions solving

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    for given f,r,w∈N with w⩾max(f,r). This problem is naturally from calculating exact distributions of some sooner waiting time random variables of run and frequency quotas in statistics. We present several solutions to the problem and develop an algorithm for the sooner waiting time problems. Numerical results are given to show the efficiency of our algorithm for calculating the exact distributions of the sooner waiting time random variable.
    Relation: Journal of Mathematical Analysis and Applications 321(2), pp.949-960
    DOI: 10.1016/j.jmaa.2006.03.071
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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