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Joint distributions associated with patterns, successes and failures in a sequence of multi-state trials

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  • Kiyoshi Inoue

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  • 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.
    • Handle: RePEc:spr:aistmt:v:56:y:2004:i:1:p:143-168
    DOI: 10.1007/BF02530529
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    References listed on IDEAS

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    1. S. Aki & N. Balakrishnan & S. Mohanty, 1996. "Sooner and later waiting time problems for success and failure runs in higher order Markov dependent trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(4), pages 773-787, December.
    2. 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.
    3. Ebneshahrashoob, M. & Sobel, Milton, 1990. "Sooner and later waiting time problems for Bernoulli trials: frequency and run quotas," Statistics & Probability Letters, Elsevier, vol. 9(1), pages 5-11, January.
    4. Sigeo Aki & Katuomi Hirano, 1995. "Joint distributions of numbers of success-runs and failures until the first consecutivek successes," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 47(2), pages 225-235, June.
    5. Koutras, M. V. & Alexandrou, V. A., 1997. "Non-parametric randomness tests based on success runs of fixed length," Statistics & Probability Letters, Elsevier, vol. 32(4), pages 393-404, April.
    6. 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.
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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. Kiyoshi Inoue & Sigeo Aki, 2007. "Joint Distributions of Numbers of Runs of Specified Lengths in a Sequence of Markov Dependent Multistate Trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 59(3), pages 577-595, September.
    3. Dafnis, Spiros D. & Makri, Frosso S. & Philippou, Andreas N., 2019. "The reliability of a generalized consecutive system," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 186-193.
    4. Spiros D. Dafnis & Frosso S. Makri, 2022. "Weak runs in sequences of binary trials," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 85(5), pages 573-603, July.
    5. 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.
    6. Antzoulakos, Demetrios L. & Boutsikas, Michael V., 2007. "A direct method to obtain the joint distribution of successes, failures and patterns in enumeration problems," Statistics & Probability Letters, Elsevier, vol. 77(1), pages 32-39, January.

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