Atomic distribution
From Encyclopedia of Mathematics
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.
How to Cite This Entry:
Atomic distribution. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Atomic_distribution&oldid=27990
Atomic distribution. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Atomic_distribution&oldid=27990
This article was adapted from an original article by A.V. Prokhorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article