Moments of convex distribution functions and completely alternating sequences

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dc.creatorGnedin, Alexander
dc.creatorPitman, Jim
dc.date2006-02-06
dc.date2008-05-26
dc.date.accessioned2026-07-07T09:40:58Z
dc.date.available2026-07-07T09:40:58Z
dc.descriptionWe 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.
dc.descriptionPublished in at http://dx.doi.org/10.1214/193940307000000374 the IMS Collections (http://www.imstat.org/publications/imscollections.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0602091
dc.identifierhttp://arxiv.org/abs/math/0602091
dc.identifierIMS Collections 2008, Vol. 2, 30-41
dc.identifierdoi:10.1214/193940307000000374
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161663
dc.subjectProbability
dc.subject60G09, 44A60 (Primary) 62E10 (Secondary)
dc.titleMoments of convex distribution functions and completely alternating sequences
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