Abstract. We consider a series of overlapping products of the form $X_1X_2+X_2X_3+X_3X_4+\cdots $ where $X_1,X_2,\ldots $ are independent Bernoulli random variables. We compute the exact distribution of every tail section for a particular choice of the $X$'s, thus extending a result of Csörgő and Wu . As a generalization, sums of multiple products are also studied.
AMS Subject Classification
(1991): 60E05, 62E15
Ewens sampling formula,
beta mixture of Poisson distribution,
Received March 1, 2001, and in revised form May 24, 2001. (Registered under 2821/2009.)