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=18055
Atomic distribution. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Atomic_distribution&oldid=18055
This article was adapted from an original article by A.V. Prokhorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article