Geodesic
Probabilistic models for pattern statistics
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 40 (2006) no. 2, pp. 207-225

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In this work we study some probabilistic models for the random generation of words over a given alphabet used in the literature in connection with pattern statistics. Our goal is to compare models based on markovian processes (where the occurrence of a symbol in a given position only depends on a finite number of previous occurrences) and the stochastic models that can generate a word of given length from a regular language under uniform distribution. We present some results that show the differences between these two stochastic models and their relationship with the rational probabilistic measures.

DOI : 10.1051/ita:2006003
Classification : 68Q45, 68Q10, 60J99
Keywords: pattern statistics, Markov chains, probabilistic automata, rational formal series 
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     author = {Goldwurm, Massimiliano and Radicioni, Roberto},
     title = {Probabilistic models for pattern statistics},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {207--225},
     publisher = {EDP-Sciences},
     volume = {40},
     number = {2},
     year = {2006},
     doi = {10.1051/ita:2006003},
     mrnumber = {2252636},
     zbl = {1112.68086},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ita:2006003/}
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Goldwurm, Massimiliano; Radicioni, Roberto. Probabilistic models for pattern statistics. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 40 (2006) no. 2, pp. 207-225. doi: 10.1051/ita:2006003

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