Abstract:Let Λi, 1 ≤ i ≤ be simple patterns, i.e., finite sequences of outcomes from a set Γ = {b1, b2,. .. , bm} and let Λ be a compound pattern (a set of distinct simple patterns). In this paper, we study joint distributions of the waiting time until the r-th occurrence of the compound pattern Λ, and the numbers of each simple pattern observed at that time in the multistate Markov dependent trials. We provide methods for deriving the probability generating functions of the joint distributions under two types of count… Show more
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