Distribution of waiting time until the rth occurrence of a compound pattern
In this article, we investigate the waiting time distributions for the rth (r[greater-or-equal, slanted]1) occurrence of a compound pattern with respect to nonoverlapping and overlapping counting schemes in a sequence of Markov dependent multistate trials. Based on the finite Markov chain imbedding approach, the exact distribution, mean, variance and probability generating function are obtained. In addition, an alternative way of finding the probability generating function is presented.
Year of publication: |
2005
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Authors: | Chang, Yung-Ming |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 75.2005, 1, p. 29-38
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Publisher: |
Elsevier |
Keywords: | Waiting time Compound pattern Finite Markov chain imbedding Probability generating function |
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