Abstract
Statistical distribution of language structures reflect important regularities controlling informational and psycho-physiological processes, which accompany the generation of verbal language or printed texts. In this paper, fuzzy quantitative models of language statistics are constructed. The suggested models are based on the assumption about a super-position of two kinds of uncertainties: probabilistic and possibilistic. The realization of this super-position in statistical distributions is achieved by the splitting procedure of the probability measure. In this way, the fuzzy versions of generalized binomial, Fucks', and Zipf-Mandelbrot's distributions are constructed describing the probabilistic and possibilistic organization of language at any level: morphological, syntactic, or phonological.
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