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Distribution and double generating function of number of patterns in a sequence of Markov dependent multistate trials

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  • Yung-Ming Chang
  • James Fu
  • Han-Ying Lin

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  • Yung-Ming Chang & James Fu & Han-Ying Lin, 2012. "Distribution and double generating function of number of patterns in a sequence of Markov dependent multistate trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(1), pages 55-68, February.
    • Handle: RePEc:spr:aistmt:v:64:y:2012:i:1:p:55-68
    DOI: 10.1007/s10463-010-0300-y
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    References listed on IDEAS

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    1. Chang, Yung-Ming, 2005. "Distribution of waiting time until the rth occurrence of a compound pattern," Statistics & Probability Letters, Elsevier, vol. 75(1), pages 29-38, November.
    2. James Fu & W. Lou, 2006. "Waiting Time Distributions of Simple and Compound Patterns in a Sequence of r-th Order Markov Dependent Multi-state Trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 58(2), pages 291-310, June.
    3. Sigeo Aki & Katuomi Hirano, 1999. "Sooner and Later Waiting Time Problems for Runs in Markov Dependent Bivariate Trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(1), pages 17-29, March.
    4. Sigeo Aki, 1992. "Waiting time problems for a sequence of discrete random variables," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 44(2), pages 363-378, June.
    5. Shinde, R.L. & Kotwal, K.S., 2006. "On the joint distribution of runs in the sequence of Markov-dependent multi-state trials," Statistics & Probability Letters, Elsevier, vol. 76(10), pages 1065-1074, May.
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    Cited by:

    1. 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.
    2. Jungtaek Oh & Christian H. Weiß, 2020. "On the Individuals Chart with Supplementary Runs Rules under Serial Dependence," Methodology and Computing in Applied Probability, Springer, vol. 22(3), pages 1257-1273, September.

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