Sélections par mots-clés
(Selections by key-words) |
Papiers lus
(accès réservé / Private) |
Références bibliographiques / Bibliography |
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[1] | Chryssaphinou, O., and Papastavridis, S.
A limit theorem for the number of non-overlapping occurrences of a
pattern in a sequence of independent trials.
J. Appl. Prob. 25 (1988), 428-431.
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[2] | Chryssaphinou, O., and Papastavridis, S.
A limit theorem on the number of overlapping appearances of a pattern
in a sequence of independent trials.
Prob. Theory Rel. Fields 79 (1988), 129-143.
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[3] | Chryssaphinou, O., and Papastavridis, S.
On the number of overlapping success runs in a sequence of
independent bernoulli trials.
Application of Fibonacci Numbers 5 (1993), 103-112.
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[4] | Cowan, R.
Expected frequencies of DNA patterns using Whittle's formula.
J. Appl. Prob. 28 (1991), 886-892.
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[5] | Erhardsson, T.
Compound Poisson approximation for Markov chains.
PhD thesis, Royal Institute of Technology, Stockholm, 1997.
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[6] | Fu, J. C., and Koutras, V.
Distribution theory of runs: A Markov chain approach.
J. Amer. Statist. Soc. 89 (1994), 1050-1058.
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[7] | 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.
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[8] | Godbole, A. P.
Specific formula for some success run distributions.
Statist. Prob. Letters 10 (1990), 119-124.
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[9] | Godbole, A. P.
Poisson approximations for runs and patterns of rare events.
Adv. Appl. Prob. 23 (1991), 851-865.
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[10] | Godbole, A. P., and Schaffner, A. A.
Improved poisson approximations for word patterns.
Adv. Appl. Prob. 25 (1993), 334-347.
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[11] | Hirano, K., and Aki, S.
On number of occurrences of sucess runs of specified length in a
two-state Markov chain.
Statistica Sinica 3 (1993), 313-320.
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[12] | Karlin, S., Burge, C., and Campbell, A. M.
Statistical analyses of counts and distributions of restriction sites
in DNA sequences.
Nucl. Acids Res. 20 (1992), 1363-1370.
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[13] | Kleffe, J., and Borodovsky, M.
First and second moment of counts of words in random texts generated
by Markov chains.
Comp. Applic. Biosci. 8 (1992), 433-441.
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[14] | Kleffe, J., and Langbecker, U.
Exact computation of pattern probabilities in random sequences
generated by Markov chains.
Comp. Applic. Biosci. 6 (1990), 347-353.
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[15] | Lundstrom, R.
Stochastic models and statistical methods for DNA sequence
data.
PhD thesis, University of Utah, 1990.
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[16] | Pevzner, P. A., Borodovsky, M. Y., and Mironov, A. A.
Linguistics of nucleotides sequences I: The significance of
deviations from mean statistical characteristics and prediction of the
frequencies of occurrence of words.
J. Biomol. Struct. Dynamics 6 (1989), 1013-1026.
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[17] | Rajarshi, M. B.
Success runs in a two-state Markov chain.
J. Appl. Prob. 11 (1974), 190-192.
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[18] | 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.
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[19] | 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.
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[20] | Régnier, M., and Szpankowski, W.
A last word on frequency of pattern occurrences in a markovian
sequence.
Submitted to IEEE Transactions on Information Theory , 1996.
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[21] | Schbath, S.
Compound Poisson approximation of word counts in DNA sequences.
ESAIM: Probability and Statistics 1 (1995), 1-16. Available here
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[22] | 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.
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[23] | Schbath, S.
An efficient statistic to detect over- and under-represented words in
DNA sequences.
J. Comp. Biol. 4 (1997), 189-192.
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[24] | Schbath, S., Prum, B., and Turckheim, E. d.
Exceptional motifs in different Markov chain models for a
statistical analysis of DNA sequences.
J. Comp. Biol. 2 (1995), 417-437.
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[25] | Stuckle, E. E., Emmrich, C., Grob, U., and Nielsen, P. J.
Statistical analysis of nucleotide sequences.
Nucl. Acids Res. 18 (1990), 6641-6647.
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[26] | Tanushev, M. S.
Central limit theorem for several patterns in a markov chain sequence
of letters.
Preprint, 1996.
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[27] | Tanushev, M. S., and Arratia, R.
Central limit theorem for renewal theory for several patterns.
J. Comp. Biol. 4 (1997), 35-44.
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