On a property of probabilistic context-free grammars
Author(s) -
Ranjan Chaudhuri,
A.N.V. Rao
Publication year - 1983
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/s0161171283000356
Subject(s) - algorithm , context (archaeology) , artificial intelligence , mathematics , computer science , archaeology , history
It is proved that for a probabilistic context-free language L(G), the population density of a character (terminal symbol) is equal to its relative densityin the words of a sample S from L(G) whenever the production probabilities of the grammar G are estimated by the relative frequencies of the corresponding productions in the sample
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