In this paper we determine some limit distributions of pattern statistics in rational stochastic models. We present a general approach to analyze these statistics in rational models having an arbitrary number of strongly connected components. We explicitly establish the limit distributions in most significant cases; they are characterized by a family of unimodal density functions defined by means of confluent Vandermonde matrices.
Pattern statistics and Vandermonde matrices / M. Goldwurm, V. Lonati. - In: THEORETICAL COMPUTER SCIENCE. - ISSN 0304-3975. - 356:1-2(2006), pp. 153-169.
Pattern statistics and Vandermonde matrices
M. GoldwurmPrimo
;V. LonatiUltimo
2006
Abstract
In this paper we determine some limit distributions of pattern statistics in rational stochastic models. We present a general approach to analyze these statistics in rational models having an arbitrary number of strongly connected components. We explicitly establish the limit distributions in most significant cases; they are characterized by a family of unimodal density functions defined by means of confluent Vandermonde matrices.
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