A. I. Il'inskii, G. P. Chistyakov, “On the problem of characterizing probability distributions by absolute moments of partial sums”, Teor. Veroyatnost. i Primenen., 1997, Volume 42, Issue 3,Pages <nobr>473

On the problem of characterizing probability distributions by absolute moments of partial sums

A. I. Il'inskii, G. P. Chistyakov

Institute for Low Temperature Physics and Engineering, Ukraine Academy of Sciences

Abstract: The paper indicates close to necessary conditions sufficient for the unique determination of a symmetric probability distribution by the sequence of absolute moments of sums of independent random variables having this distribution.

Keywords: characteristic function, sums of independent random variables, absolute moments, the Cramer condition, a Cauchy-type integral.

Received: 19.08.1996

DOI: 10.4213/tvp1945