New representation theorems for completely monotone and Bernstein functions with convexity properties on their measures

DOI10.1007/s10959-014-0557-9zbMath1334.26021OpenAlexW2064492668MaRDI QIDQ904715

Hristo S. Sendov, Shen Shan

Publication date: 13 January 2016

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-014-0557-9

zbMATH Keywords

Lévy measurecompletely monotone functioncoupon collector's problemBernstein functionLévy-Khintchine representationBernstein representationharmonically convex measuremeasure with harmonically concave tail

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Monotonic functions, generalizations (26A48) Inequalities involving other types of functions (26D07)

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