On powers of Stieltjes moment sequences, I
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Publication:2576804
DOI10.1007/s10959-005-7530-6zbMath1086.44003arXivmath/0412340OpenAlexW1996566476MaRDI QIDQ2576804
Publication date: 14 December 2005
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0412340
infinitely divisible distributionStieltjes moment sequenceindependent identically distributed normal random variables
Related Items (21)
A transformation from Hausdorff to Stieltjes moment sequences ⋮ Structural properties of generalised Planck distributions ⋮ On powers of Stieltjes moment sequences. II ⋮ On the Mellin transforms of the perpetuity and the remainder variables associated to a subordinator ⋮ Generating functions via integral transforms ⋮ On functions \(K\) and \(E\) generated by a sequence of moments ⋮ On powers of the Catalan number sequence ⋮ Non‐classical Tauberian and Abelian type criteria for the moment problem ⋮ A two-parameter extension of Urbanik’s product convolution semigroup ⋮ Implicit renewal theory for exponential functionals of Lévy processes ⋮ Moment determinacy of powers and products of nonnegative random variables ⋮ The truncated Stieltjes moment problem solved by using kernel density functions ⋮ A refined factorization of the exponential law ⋮ Moment problems related to Bernstein functions ⋮ Hamburger moment problem for powers and products of random variables ⋮ The principal inverse of the gamma function ⋮ The log-Lévy moment problem via Berg–Urbanik semigroups ⋮ Maps preserving moment sequences ⋮ A new proof that the product of three or more exponential random variables is moment-indeterminate ⋮ Quasi-stationary distributions and Yaglom limits of self-similar Markov processes ⋮ Asymptotic behaviour of the Urbanik semigroup
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