Barlevy, Gadi; Nagaraja, Haikady N. - 2005
We consider a sequence of random length M of independent absolutely continuous observations Xi, 1 <= i <= M, where M is geometric, X1 has cdf G, and Xi, i >= 2, have cdf F. Let N be the number of upper records and Rn, n = 1, be the nth record value. We show that N is free of F if and only if G(x) = G0(F (x)) for some cdf G0 and that if E(|X2|) is...</=>