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Références bibliographiques / Bibliography


Mot-clé: Poisson approximation

[1] Arratia, R., Goldstein, L., and Gordon, L. Two moments suffice for Poisson approximations : the Chen-Stein method. Ann. Prob. 17 (1989), 9-25.

[2] Arratia, R., Goldstein, L., and Gordon, L. Poisson approximation and the Chen-Stein method. Statistical Science 5 (1990), 403-434.

[3] Barbour, A. D., Chen, L. H. Y., and Loh, W.-L. Compound Poisson approximation for nonnegative random variables via Stein's method. Ann. Prob. 20 (1992), 1843-1866.

[4] Barbour, A. D., and Eagleson, G. K. Poisson approximation for some statistics based on exchangeable trials. Ann. Appl. Prob. 15 (1983), 585-600.

[5] Barbour, A. D., and Eagleson, G. K. Poisson convergence for dissociated statistics. J. R. Statist. Soc. B 46 (1984), 397-402.

[6] Barbour, A. D., and Hall, P. On the rate of poisson convergence. Math. Proc. Camb. Phil. Soc. 95 (1984), 473-480.

[7] Barbour, A. D., Holst, L., and Janson, S. Poisson approximation. Oxford-University Press, 1992.

[8] Chen, L. H. Y. Poisson approximation for dependent trials. Ann. Prob. 3 (1975), 534-545.

[9] Erhardsson, T. Compound Poisson approximation for Markov chains. PhD thesis, Royal Institute of Technology, Stockholm, 1997.

[10] Fu, J. C. Poisson convergence in reliability of a large linearly connected system as related to coin tossing. Statistica Sinica 3 (1993), 261-275.

[11] Geske, M. X., Godbole, A. P., Schaffner, A. A., Skolnick, A. M., and Wallstrom, G. L. Compound Poisson approximations for word patterns under Markovian hypotheses. J. Appl. Prob. 32 (1995), 877-892.

[12] Godbole, A. P. Poisson approximations for runs and patterns of rare events. Adv. Appl. Prob. 23 (1991), 851-865.

[13] Godbole, A. P., and Schaffner, A. A. Improved poisson approximations for word patterns. Adv. Appl. Prob. 25 (1993), 334-347.

[14] Goldstein, L., and Waterman, M. S. Poisson, compound poisson and process approximations for testing statistical significance in sequence comparisons. Bull. Math. Biol 54 (1992), 785-812.

[15] Karlin, S., and Ost, F. Counts of long aligned word matches among random letter sequences. Ann. Prob. 19 (1987), 293-351.

[16] Reinert, G., and Schbath, S. Compound Poisson and Poisson process approximations for occurrences of multiple words in markov chains. J. Comp. Biol. 5 (1998), 223-254.

[17] Reinert, G., and Schbath, S. Compound Poisson approximations for occurrences of multiple words. In Statistics in Genetics and Molecular Biology, F. Seillier, Ed. IMS Lecture Notes-Monograph Series, 1999. Vol. 33.

[18] Roos, M. Stein's method for compound Poisson approximation : the local approach. Ann. Appl. Prob. 4 (1994), 1177-1187.

[19] Schbath, S. Compound Poisson approximation of word counts in DNA sequences. ESAIM: Probability and Statistics 1 (1995), 1-16.
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[20] Schbath, S. Étude asymptotique du nombre d'occurrences d'un mot dans une chaîne de Markov et application à la recherche de mots de fréquence exceptionnelle dans les séquences d'ADN. PhD thesis, Université René Descartes, Paris V, 1995.

Fri Feb 11 09:39:23 MET 2000

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