
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.
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
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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