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On waiting time distributions associated with compound patterns in a sequence of multi-state trials


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  • Kiyoshi Inoue


  • Sigeo Aki
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    Bibliographic Info

    Article provided by Springer in its journal Annals of the Institute of Statistical Mathematics.

    Volume (Year): 61 (2009)
    Issue (Month): 2 (June)
    Pages: 499-516

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    Handle: RePEc:spr:aistmt:v:61:y:2009:i:2:p:499-516

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    Keywords: Compound pattern; Scan; Run; Multi-state trials; Enumeration schemes; Conditional distribution; Probability function; Probability generating function; Double generating function;


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    1. S. Robin & J.-J. Daudin, 2001. "Exact Distribution of the Distances between Any Occurrences of a Set of Words," Annals of the Institute of Statistical Mathematics, Springer, Springer, vol. 53(4), pages 895-905, December.
    2. Hirano, Katuomi & Aki, Sigeo, 2003. "Number of occurrences of subpattern until the first appearance of a pattern and geometric distribution," Statistics & Probability Letters, Elsevier, vol. 65(3), pages 259-262, November.
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    Cited by:
    1. Sankaran, P.G. & Midhu, N.N., 2010. "On waiting time distributions for patterns in a sequence of multistate trials," Statistics & Probability Letters, Elsevier, vol. 80(23-24), pages 1798-1805, December.
    2. Yu-Fei Hsieh & Tung-Lung Wu, 2013. "Recursive equations in finite Markov chain imbedding," Annals of the Institute of Statistical Mathematics, Springer, Springer, vol. 65(3), pages 513-527, June.


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