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Article collection "Mathematical Problems of Cybernetics" №10, Moscow, 2001
Authors: Kolpakov R.M.
Closed classes of Boolean random variables with rational-valued distributions
Abstract:
The paper concerns discrete transformations of Boolean random variables, i.e. random variables which have only two values 0 and 1, with rational probabilities of values. By a discrete transformation of Boolean random variables we mean a Boolean random variable, the value of which is the value of an arbitrary Boolean function whose variables values are the values of the independent initial random variables. The closure of a set of probabilities is the set of probabilities of value 1 for all random variables obtained by discrete transformations of Boolean random variables whose probabilities of value 1 belong to the initial set of probabilities. A set of probabilities is closed if it coincides with its closure. In the paper all closed sets of rational probabilities are described.
Keywords:
Boolean random variables, rational probabilities, closed class
Publication language: russian,  pages: 10 (p. 215-224)
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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