We study the local limit distribution of sequences of random variables representing the number of occurrences of a symbol in words of length n in a regular language, generated at random according to a rational stochastic model. We present an analysis of the main local limits when the finite state automaton defining the stochastic model consists of two primitive components. Our results include an evaluation of the convergence rate, which in the various cases is of an order slightly slower than O(n^(−1/2)).
Analysis of symbol statistics in bicomponent rational models / M. Goldwurm, J. Lin, M. Vignati (LECTURE NOTES IN COMPUTER SCIENCE). - In: Developments in Language Theory / [a cura di] P. Hofman, M. Skrzypczak. - Prima edizione. - [s.l] : Springer, 2019. - ISBN 9783030248857. - pp. 306-318 (( Intervento presentato al 23. convegno International Conference on Developments in Language Theory tenutosi a Warsaw nel 2019 [10.1007/978-3-030-24886-4_23].
Analysis of symbol statistics in bicomponent rational models
M. Goldwurm
;M. Vignati
2019
Abstract
We study the local limit distribution of sequences of random variables representing the number of occurrences of a symbol in words of length n in a regular language, generated at random according to a rational stochastic model. We present an analysis of the main local limits when the finite state automaton defining the stochastic model consists of two primitive components. Our results include an evaluation of the convergence rate, which in the various cases is of an order slightly slower than O(n^(−1/2)).File | Dimensione | Formato | |
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