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The occurrence of sequence patterns in repeated experiments and hitting times in a Markov chain. (English) Zbl 0449.60050

MSC:
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
60G42 Martingales with discrete parameter
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References:
[1] Chung, K.L., Markov chains with stationary transition probabilities, (1967), Springer New York · Zbl 0146.38401
[2] S. Collins, Improbable probabilities, to appear.
[3] Feller, W., An introduction to probability theory and its applications, Vol. I, (1967), Wiley New York · Zbl 0158.34902
[4] L.J. Guibas and A.M. Odlyzko, String overlaps, pattern matching, and nontransitive games, to appear. · Zbl 0454.68109
[5] Howard, R.A., Dynamic probabilistic systems, Vol. I, (1971), Wiley New York
[6] S.-Y.R. Li, A martingale scheme for studying the occurence of sequence patterns in repeated experiments, Ann. Probability, to appear.
[7] Råde, L., Thinning of renewal point processes, a flow graph study, Matematisk statistik AB, (1972), Göteborg
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