Abstract
The purpose of this paper is to provide some additional insight into the moment problem by connecting a condition by Lin, Bondesson's class of hyperbolically completely monotone densities, and the theory of regularly varying functions. In particular, two questions addressed in a recent paper by Stoyanov concerning powers of random variables and functions that (do not) preserve uniqueness will be investigated.
Citation
Allan Gut. "On the moment problem." Bernoulli 8 (3) 407 - 421, April 2002.
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