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Moments of Discrete Distributions via a Differential Operator

✍ Scribed by M. Murat, D. Szynal

Book ID: 120739269
Publisher: Springer US
Year: 2013
Tongue: English
Weight: 215 KB
Volume: 191
Category: Article
ISSN: 1573-8795
DOI: 10.1007/s10958-013-1341-6

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Let {X,}~= 1 be a sequence of i.i.d, random variables having continuous distribution F(x) with E IX[~+~< oo for some positive integer l and for some e > 0. It is shown that for any fixed integer N > 0 the sequence of moments of record values {E(XL(n))t}~=N characterizes F. Furthermore, this result i