1974/02/01 by A. Joffe · 126 citations
Mathematics · Computer Science · #Fuzzy Systems and Optimization #Rough Sets and Fuzzy Logic #Mathematics #Random variable #Pairwise independence #Sum of normally distributed random variables #Pairwise comparison #Algebra of random variables #Random element #Convergence of random variables #Set (abstract data type) #Variables #Random function #Combinatorics #Discrete mathematics #Statistics
paper · pdf · doi:10.1214/aop/1176996762
published in The Annals of Probability 2(1) (Institute of Mathematical Statistics)
openalex publication_date 1974/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2025/11/06
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.