## The Annals of Probability

### On a Set of Almost Deterministic $k$-Independent Random Variables

A. Joffe

#### Abstract

We give an elementary example, generalizing the one of Bernstein, of a set of pairwise independent random variables which are not jointly independent. It preserves, the "not enough emphasis" characteristic of Bernstein's example in which each random variable is a function of any two of them.

#### Article information

Source
Ann. Probab., Volume 2, Number 1 (1974), 161-162.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176996762

Digital Object Identifier
doi:10.1214/aop/1176996762

Mathematical Reviews number (MathSciNet)
MR356150

Zentralblatt MATH identifier
0276.60005

JSTOR
Joffe, A. On a Set of Almost Deterministic $k$-Independent Random Variables. Ann. Probab. 2 (1974), no. 1, 161--162. doi:10.1214/aop/1176996762. https://projecteuclid.org/euclid.aop/1176996762