Convergence of Randomly Selected Sums in a Separable Banach Space

✍ Scribed by G. Siegel

• Publisher: John Wiley and Sons
• Year: 1988
• Tongue: English
• Weight: 692 KB
• Volume: 139
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19881390113

✦ Synopsis

1. Introduction. Let (X,) be a sequence of real valued independent and identically distributed random variables (r. v.) with espactation 0 and finite second moment 02. Further, let ( N n ) be a sequence of random integers satisfying N,/n -. t where z is a positive r.v. Then the celebrated result of MOGYORODI [ l S ] and BLvsr, HANSON, and ROSENBLATT [Ci] states that the distributions of I P N n (Nnu3)-1'2 2 x k k-1