Elementary events
From Encyclopedia of Mathematics
An initial concept in a probability model. In the definition of a probability space the non-empty set
is called the space of elementary events and any point
is an elementary event. In an informal approach,
describes the set of all outcomes of a certain random experiment and an elementary event
corresponds to an elementary outcome: the experiment ends with one and only one elementary outcome, these outcomes are indecomposable and mutually exclusive. There is a fundamental difference between an elementary event
, a point of
, and the event
, an element of a certain class of sets
. See Probability theory; Probability space; Random event.
How to Cite This Entry:
Elementary events. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Elementary_events&oldid=46801
Elementary events. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Elementary_events&oldid=46801
This article was adapted from an original article by A.V. Prokhorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article