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Références bibliographiques / Bibliography


Mot-clé: Stein method

[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] 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.

[5] 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.

[6] 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.

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

[8] Schbath, S. Compound Poisson approximation of word counts in DNA sequences. ESAIM: Probability and Statistics 1 (1995), 1-16.
Available here

[9] 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.

[10] Stein, C. A bound for the error in the normal approximation to the distribution of a sum of dependent random variables. Proc. 6th Berkeley Sympos. Math. Statist. Probab. 2 (1972), 583-602.

Fri Feb 11 09:39:23 MET 2000

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