Independence and atoms

Type: Article

Publication Date: 2001-04-25

Citations: 7

DOI: https://doi.org/10.1090/s0002-9939-01-06045-2

Abstract

We prove that if the range of a probability measure $P$ contains an interval $[0,\varepsilon ]$, $\varepsilon >0$, then there are infinitely many (nontrivial) independent events in this probability space.

Locations

  • Proceedings of the American Mathematical Society - View - PDF