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On waiting time distributions for patterns in a sequence of multistate trials

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  • Sankaran, P.G.
  • Midhu, N.N.

Abstract

In this paper, we consider the waiting time distributions for patterns in a sequence of multistate trials. A simple and general framework, using the Markov chain imbedding method, is developed to study the waiting time distributions of both simple and compound patterns. Algorithms for the computation of these are given. The general theory is employed for the investigation of some examples in order to illustrate the theoretical results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:23-24:p:1798-1805
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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. 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. 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.
    4. 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.
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