On a Set of Almost Deterministic $k$-Independent Random Variables
Joffe, A.
Ann. Probab., Tome 2 (1974) no. 6, p. 161-162 / Harvested from Project Euclid
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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.
Publié le : 1974-02-14
Classification:  60-01,  Pairwise independence,  indepdence,  Bernstein,  60B05 
@article{1176996762,
     author = {Joffe, A.},
     title = {On a Set of Almost Deterministic $k$-Independent Random Variables},
     journal = {Ann. Probab.},
     volume = {2},
     number = {6},
     year = {1974},
     pages = { 161-162},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176996762}
}

Joffe, A. On a Set of Almost Deterministic $k$-Independent Random Variables. Ann. Probab., Tome 2 (1974) no. 6, pp.  161-162. http://gdmltest.u-ga.fr/item/1176996762/