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    题名: A combinatorial problem from sooner waiting time problems with run and frequency quotas
    作者: Gao, Tangan;吳孟年;Wu, Meng-nien
    贡献者: 淡江大學數學學系
    关键词: Combinatorial counting problem;Multinomial coefficients;Markov dependent trials;Waiting time random variables;Probability generating functions
    日期: 2006-09-15
    上传时间: 2010-01-28 07:18:01 (UTC+8)
    出版者: Elsevier
    摘要: 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.
    關聯: Journal of Mathematical Analysis and Applications 321(2), pp.949-960
    DOI: 10.1016/j.jmaa.2006.03.071
    显示于类别:[數學學系暨研究所] 期刊論文


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