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VOL. 2 | 2008 Moments of convex distribution functions and completely alternating sequences

Abstract

We solve the moment problem for convex distribution functions on [0, 1] in terms of completely alternating sequences. This complements a recent solution of this problem by Diaconis and Freedman, and relates this work to the Lévy-Khintchine formula for the Laplace transform of a subordinator, and to regenerative composition structures.

Information

Published: 1 January 2008
First available in Project Euclid: 7 April 2008

zbMATH: 1176.60027
MathSciNet: MR2459948

Digital Object Identifier: 10.1214/193940307000000374

Subjects:
Primary: 44A60 , 60G09
Secondary: 62E10

Keywords: convex distributions , Moment problem , subordinator

Rights: Copyright © 2008, Institute of Mathematical Statistics

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