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Waiting Time Problems in a Two-State Markov Chain

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  • Qing Han
  • Sigeo Aki

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  • 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.
    • Handle: RePEc:spr:aistmt:v:52:y:2000:i:4:p:778-789
    DOI: 10.1023/A:1017537629251
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    References listed on IDEAS

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    1. Philippou, Andreas N. & Georghiou, Costas & Philippou, George N., 1983. "A generalized geometric distribution and some of its properties," Statistics & Probability Letters, Elsevier, vol. 1(4), pages 171-175, June.
    2. N. Balakrishnan & S. Mohanty & S. Aki, 1997. "Start-Up Demonstration Tests Under Markov Dependence Model with Corrective Actions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(1), pages 155-169, March.
    3. S. Mohanty, 1994. "Success runs of lengthk in Markov dependent trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 46(4), pages 777-796, December.
    4. Ling, K. D., 1988. "On binomial distributions of order k," Statistics & Probability Letters, Elsevier, vol. 6(4), pages 247-250, March.
    5. M. Koutras, 1997. "Waiting Time Distributions Associated with Runs of Fixed Length in Two-State Markov Chains," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(1), pages 123-139, March.
    6. Ling, K. D., 1992. "A generalization of the sooner and later waiting time problems for Bernoulli trials: Frequency quota," Statistics & Probability Letters, Elsevier, vol. 14(5), pages 401-405, July.
    7. 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.
    8. Masayuki Uchida & Sigeo Aki, 1995. "Sooner and later waiting time problems in a two-state Markov chain," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 47(3), pages 415-433, September.
    9. Qing Han & Sigeo Aki, 1999. "Joint Distributions of Runs in a Sequence of Multi-State Trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(3), pages 419-447, September.
    10. Demetrios Antzoulakos & Andreas Philippou, 1996. "Derivation of the probability distribution functions for succession quota random variables," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(3), pages 551-561, September.
    11. Balasubramanian, K. & Viveros, R. & Balakrishnan, N., 1993. "Sooner and later waiting time problems for Markovian Bernoulli trials," Statistics & Probability Letters, Elsevier, vol. 18(2), pages 153-161, September.
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    Cited by:

    1. Martin, Donald E. K., 2004. "Markovian start-up demonstration tests with rejection of units upon observing d failures," European Journal of Operational Research, Elsevier, vol. 155(2), pages 474-486, June.
    2. Kirtee Kamalja, 2014. "On the joint distribution of success runs of several lengths in the sequence of MBT and its applications," Statistical Papers, Springer, vol. 55(4), pages 1179-1206, November.

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