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Let X1, X2,...,Xn be a time-homogeneous {0, 1}-valued Markov chain. Let Y = (Y1,...,Yr) denote the r-dimensional random vector, where Yi(i = l,...,r) represents the number of success runs of length ki(i = 1,...,r), k = (kl,...,kr). In this paper we obtain exact and recurrence formulae for the...
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