How many Laplace transforms of probability measures are there?

DOI10.1090/S0002-9939-2010-10448-3zbMath1206.60020arXiv1001.0200OpenAlexW2073772597WikidataQ41952649 ScholiaQ41952649MaRDI QIDQ3065712

Jon A. Wellner, Wenbo V. Li, Fuchang Gao

Publication date: 6 January 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0200

zbMATH Keywords

Laplace transformcompletely monotone functionssmall deviation probabilitybracketing metric entropysmooth Gaussian process

Mathematics Subject Classification ID

Gaussian processes (60G15) Characteristic functions; other transforms (60E10) Compactness in Banach (or normed) spaces (46B50)

Related Items (6)

Metric entropy of $q$-hulls in Banach spaces of type-$p$ ⋮ The Lasso with structured design and entropy of (absolute) convex hulls ⋮ The local geometry of finite mixtures ⋮ Multivariate extensions of isotonic regression and total variation denoising via entire monotonicity and Hardy-Krause variation ⋮ Upper tail probabilities of integrated Brownian motions ⋮ Small deviations for a family of smooth Gaussian processes

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