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Mot-clé: length of the longest run

[1] Arratia, R., and Waterman, M. S. Critical phenomena in sequence matching. Ann. Prob. 13 (1985), 1236-1249.

[2] Deheuvels, P., Devroye, L., and Lynch, J. Exact convergence rate in the limit theorems of Erdös-Rényi and Shepp. Ann. Prob. 14 (1986), 209-223.

[3] Erdös, P., and Rényi, A. On a new law of large numbers. J. Analyse Math. 23 (1970), 103-111.

[4] Guibas, L. J., and Odlyzko, A. M. Long repetitive patterns in random sequences. Z. Wahrscheinlichkeitsth 53 (1980), 241-262.

[5] Kusolitsch, N. Longest runs in markov chains. Prob. Statist. Inference (1982), 223-230.

[6] Nemetz, T., and Kusolitsch, N. On the longest run of coincidences. Z. Wahrscheinlichkeitsth 61 (1982), 59-73.

[7] Samarova, S. On the length of the longest head run for a markov chain with two states. Theory Prob. Appl. 26 (1981), 498-509.

Fri Feb 11 09:39:23 MET 2000

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