Atomic distribution

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A probability distribution on a -algebra of subsets of a space concentrated on the set of its atoms (cf. Atom). A set in a probability space is called an atom of the distribution if and if it follows from that or that . In the particular case in which the atoms are discrete points, an atomic distribution coincides with a discrete distribution.

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Atomic distribution. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by A.V. Prokhorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article