Moments of convex distribution functions and completely alternating sequences

Details Moments of convex distribution functions and completely alternating sequences Moments of convex distribution functions and completely alternating sequences

2006-02-06

arxiv.org/abs/math/0602091v2

IMS Collections 2008, Vol. 2, 30-41

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/193940307000000374 the IMS Collections (http://www.imstat.org/publications/imscollec

Scientific paper

10.1214/193940307000000374

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
L\'{e}vy-Khintchine formula for the Laplace transform of a subordinator, and to
regenerative composition structures.

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