Moments of convex distribution functions and completely alternating sequences
Alexander Gnedin, Jim Pitman
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.
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