On the Problem of Characterizing Probability Distributionsby Absolute Moments of Partial Sums

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.

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Veröffentlicht in:Theory of probability and its applications 1998-07, Vol.42 (3), p.426-432
Hauptverfasser: Il'inskii, A. I., Chistyakov, G. P.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0040-585X
1095-7219
DOI:10.1137/S0040585X97976246