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On the joint distribution of runs in a sequence of multi-state trials

Author

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  • Doi, Masayuki
  • Yamamoto, Eiji

Abstract

The joint distribution of c kinds of success runs in a sequence of (c + 1)-state trials is given by the finite Markov chain method proposed by Fu and Koutras (1994) and Fu (1996).

Suggested Citation

  • Doi, Masayuki & Yamamoto, Eiji, 1998. "On the joint distribution of runs in a sequence of multi-state trials," Statistics & Probability Letters, Elsevier, vol. 39(2), pages 133-141, August.
    • Handle: RePEc:eee:stapro:v:39:y:1998:i:2:p:133-141
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    References listed on IDEAS

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    1. Ling, K. D., 1988. "On binomial distributions of order k," Statistics & Probability Letters, Elsevier, vol. 6(4), pages 247-250, March.
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    Cited by:

    1. Qing Han & Sigeo Aki, 2000. "Waiting Time Problems in a Two-State Markov Chain," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 52(4), pages 778-789, December.
    2. M. Koutras & S. Bersimis & D. Antzoulakos, 2008. "Bivariate Markov chain embeddable variables of polynomial type," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(1), pages 173-191, March.
    3. D. Antzoulakos & S. Bersimis & M. Koutras, 2003. "On the distribution of the total number of run lengths," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(4), pages 865-884, December.
    4. 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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