%0 Generic %1 math.PR/0602091 %A Gnedin, Alexander %A Pitman, Jim %D 2006 %K Dept_Mathematics_Berkeley Dept_Statistics_Berkeley completely_alternating_sequences convex_distribution_functions de_Finetti's_theorem extreme_points moments myown %T Moments of convex distribution functions and completely alternating sequences %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{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 L{é}vy-Khintchine formula for the Laplace transform of a subordinator, and to regenerative composition structures.}, added-at = {2008-01-21T00:08:42.000+0100}, arxiv = {math.PR/0602091}, author = {Gnedin, Alexander and Pitman, Jim}, biburl = {https://www.bibsonomy.org/bibtex/27e3215f9fbe8a02d9310d62bdca84cdf/pitman}, interhash = {d11b21e408e8ff0541dcd6ebd21e414c}, intrahash = {7e3215f9fbe8a02d9310d62bdca84cdf}, keywords = {Dept_Mathematics_Berkeley Dept_Statistics_Berkeley completely_alternating_sequences convex_distribution_functions de_Finetti's_theorem extreme_points moments myown}, mrclass = {60K35}, timestamp = {2010-10-30T22:51:58.000+0200}, title = {{Moments of convex distribution functions and completely alternating sequences}}, year = 2006 }