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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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  • Kiyoshi Inoue & Sigeo Aki, 2009. "On waiting time distributions associated with compound patterns in a sequence of multi-state trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 61(2), pages 499-516, June.
    • Handle: RePEc:spr:aistmt:v:61:y:2009:i:2:p:499-516
    DOI: 10.1007/s10463-007-0140-6
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    References listed on IDEAS

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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;The Institute of Statistical Mathematics, vol. 53(4), pages 895-905, December.
    2. Kiyoshi Inoue, 2004. "Joint distributions associated with patterns, successes and failures in a sequence of multi-state trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(1), pages 143-168, March.
    3. Kiyoshi Inoue & Sigeo Aki, 2002. "Generalized Waiting Time Problems Associated with Pattern in Polya's Urn Scheme," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(3), pages 681-688, September.
    4. 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. Athanasios Rakitzis & Demetrios Antzoulakos, 2015. "Start-up demonstration tests with three-level classification," Statistical Papers, Springer, vol. 56(1), pages 1-21, February.
    2. 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.
    3. Kiyoshi Inoue, 2021. "On Homogeneous Multivariate Distributions in Random Occupancy Models and Their Applications," Methodology and Computing in Applied Probability, Springer, vol. 23(3), pages 1129-1153, September.
    4. Yu-Fei Hsieh & Tung-Lung Wu, 2013. "Recursive equations in finite Markov chain imbedding," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(3), pages 513-527, June.
    5. Markos V. Koutras & Demetrios P. Lyberopoulos, 2018. "Asymptotic results for jump probabilities associated to the multiple scan statistic," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 70(5), pages 951-968, October.
    6. Kiyoshi Inoue & Sigeo Aki, 2014. "On sooner and later waiting time distributions associated with simple patterns in a sequence of bivariate trials," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(7), pages 895-920, October.

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