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Systems of functional equations

โœ Scribed by Michael Drmota

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
228 KB
Volume
10
Category
Article
ISSN
1042-9832

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โœฆ Synopsis

The aim of this paper is to discuss the asymptotic properties of the coefficients of generating functions which satisfy a system of functional equations. It turns out that under certain general conditions these coefficients are related to the distribution of a multivariate random variable that is asymptotically normal. As an application it turns out that the distribution of the terminal symbols in context-free languages is typically asymptoti-ลฝ .

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