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.
%0 Generic
%1 arXiv:math.PR/0602091
%A Gnedin, Alexander
%A Pitman, Jim
%D 2006
%K author_pitman_from_arxiv
%T Moments of convex distribution functions and completely alternating sequences.
%U http://arxiv.org/abs/math.PR/0602091
%X 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.
@misc{arXiv:math.PR/0602091,
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.},
added-at = {2010-11-05T23:01:48.000+0100},
arxiv = {arXiv:math.PR/0602091},
author = {Gnedin, Alexander and Pitman, Jim},
biburl = {https://www.bibsonomy.org/bibtex/23d7818b02b308b39129f1f635e2925c7/pitman},
interhash = {d11b21e408e8ff0541dcd6ebd21e414c},
intrahash = {3d7818b02b308b39129f1f635e2925c7},
keywords = {author_pitman_from_arxiv},
timestamp = {2010-11-05T23:01:48.000+0100},
title = {{Moments of convex distribution functions and completely alternating sequences.}},
url = {http://arxiv.org/abs/math.PR/0602091},
year = 2006
}