REFERENCES

Word counts

• Cowan, R. (1991) Expected frequencies of DNA patterns using Whittle's formula. J. Appl. Prob. 28 886-892.

• Prum B., Rodolphe F. and Turckheim É de. (1995). Finding Words with Unexpected Frequencies in Deoxyribonucleic Acid Sequences, J. R. Statist. Soc B., 57 205-220.
  Abstract
• Schbath, S. (1995), Compound Poisson approximation of word counts in DNA sequences, ESAIM: Prob. Stat., 1 1-16.
  
• Schbath, S. (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, Thèse de l'Université René Descartes, Paris V.
  
• Schbath, S. (1997). An efficient statistic to detect over- and under- represented words in DNA sequences. J. Comp. Biol., 4 189-192. Abstract.

Chen-Stein method

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

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

Combinatorics on words

• Guibas, L. J. and Odlyzko, A. M. (1981). Periods in strings. J. Combinatorial Theory A. 30 19-42.

• Lothaire, M. (1983). Combinatorics on words. Addison-Wesley.

• Leung, G. M., M. Y. Marsh and Speed, T. P. (1996). Over and underrepresentation of short DNA words in herpesvirus genomes. J. Comp. Biol. 3 345-360.

• Schbath, S. Prum, B. and Turckheim É de. (1995). Exceptional motifs in different Markov chain models for a statistical analysis of DNA sequences. J. Comp. Biol., 2 417-437.

Finding words with unexpected frequencies in DNA sequences. 11.9.98 Page: References