Random Independence and Regressive Independence

GUO Jianhua, MA Wenqing

(School of Mathematical Sciences, Peking University, Beijing, 100871)

Abstract:: Regressive independence means that conditional expectation E(Y|X) of two random variables X and Y does not depend on X. The relation between regressive independence and random independence is discussed, and several necessary and sufficient conditions are presented.
Key words:: Conditional expectation; random independence; weak association

(R.D.1999-03-03 P.D.2000-01-20 Vol.36 No.1 pp.39-43)