A Note on Independent and Exhaustive Events

Authors
Krewski, Daniel Bickis, Mikelis
Citation
Krewski, Daniel et Bickis, Mikelis, A Note on Independent and Exhaustive Events, American statistician , 38(4), 1984, pp. 290-291
Journal title
American statistician → ACNP
ISSN journal
00031305
Volume
38
Issue
4
Year of publication
1984
Pages
290 - 291
Database
ACNP
SICI code
Abstract
In this article, we show that a finite collection of independent events cannot be exhaustive except in the trivial case in which one of the events occurs with probability one.For an infinite collection of events, however, exhaustiveness need not preclude independence. Illustrative examples are provided.