THE EQUIVALENCE OF THE RADEMACHER TRANSLATIONS OF AN INFINITE PRODUCT MEASURE
Aoi Honda, Yoshiaki Okazaki · 1997
Let X = = {X.} be an i.i.d. random sequence with common density function f and let6 = {Åí.} be the i.i.d. Rademacher sequence, that is, Åí. = Å}1 with probability 1/2, which is independent of X. For a real sequence a = {a.}, we set ae = {a.e.}. The equivalence of the distributions of X and X + as was investigated completely in Sato