@article{PS_1997__1__1_0,
author = {Schbath, Sophie},
title = {Compound {Poisson} approximation of word counts in {DNA} sequences},
journal = {ESAIM: Probability and Statistics},
pages = {1--16},
year = {1997},
publisher = {EDP Sciences},
volume = {1},
mrnumber = {1382515},
zbl = {0869.60067},
language = {en},
url = {https://www.numdam.org/item/PS_1997__1__1_0/}
}
Schbath, Sophie. Compound Poisson approximation of word counts in DNA sequences. ESAIM: Probability and Statistics, Tome 1 (1997), pp. 1-16. https://www.numdam.org/item/PS_1997__1__1_0/
, and ( 1989). Two moments suffice for Poisson approximations : the Chen-Stein method. Ann. Prob. 17 9-25. | Zbl | MR
, and ( 1990). Poisson approximation and the Chen-Stein method. Statistical Science. 5 403-434. | Zbl | MR
, and ( 1992a). Compound Poisson approximation for nonnegative random variables via Stein's method. Ann. Prob. 20 1843-1866. | Zbl | MR
, and ( 1992b). Poisson approximation. Oxford-University Press. | Zbl | MR
( 1975). Poisson approximation for dependent trials. Ann. Prob. 3 534-545. | Zbl | MR
and ( 1988a). A limit theorem for the number of non-overlapping occurrences of a pattern in a sequence of independent trials. J. Appl. Prob. 25 428-431. | Zbl | MR
and ( 1988b). A limit theorem on the number of overlapping appearances of a pattern in a sequence of independent trials. Prob. Theory Rel. Fields. 79 129-143. | Zbl | MR
( 1994). Mixing: Properties and Examples. L.N.S. 85, Springer-Verlag. | Zbl | MR
( 1993). Poisson convergence in reliability of a large linearly connected system as related to coin tossing. Statistica Sinica. 3 261-275. | Zbl | MR
, , , and ( 1995). Compound Poisson approximations for word patterns under Markovian hypotheses. J. Appl. Prob. To appear. | Zbl | MR
( 1991). Poisson approximations for runs and patterns of rare events. Adv. Appl. Prob. 23 851-865. | Zbl | MR
and ( 1993). Improved poisson approximations for word patterns. Adv. Appl. Prob. 25 334-347. | Zbl | MR
and ( 1981). Periods in strings. J. Combinatorial Theory A. 30 19-42. | Zbl | MR
and ( 1993). On number of occurrences of sucess runs of specified length in a two-state Markov chain. Statistica Sinica. 3 313-320. | Zbl | MR
and ( 1987). Counts of long aligned word matches among random letter sequences. Ann. Prob. 19 293-351. | Zbl | MR
( 1983). Combinatorics on words. Addison-Wesley. | Zbl | MR
, and DE ( 1995). Finding words with unexpected frequencies in DNA sequences. J. R. Statist. Soc. B. 57 205-220. | Zbl | MR
( 1994). Stein's method for compound Poisson approximation : the local approach. Ann. Appl. Prob. 4 1177-1187. | Zbl | MR
( 1995). 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.
, and DE ( 1995). Exceptional motifs in different Markov chain models for a statistical analysis of DNA sequences. J. Comp. Biol. 2 417-437.
( 1989). The multiple codes of nucleotide sequences. Bull. Math. Biol. 51 417-432. | Zbl | MR






