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International Journal of Mathematics and Mathematical Sciences
Article . 1983 . Peer-reviewed
License: CC BY
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Article . 1983
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On a property of probabilistic context‐free grammars

On the property of probabilistic context-free grammars
Authors: Chaudhuri, R.; Rao, A. N. V.;

On a property of probabilistic context‐free grammars

Abstract

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 density in 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.

Keywords

Mathematical linguistics [See also 03B65, 92K20], character density, probabilistic context-free language, Formal languages and automata, 004, consistency and character density., probabilistic grammars, QA1-939, relative density, population density, Mathematics, stochastic expectation matrix

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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