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A probabilistic characterisation of negative definite and completely alternating functions

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Publication:3928723
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DOI10.1007/BF00534832zbMath0474.60016MaRDI QIDQ3928723

Paul Ressel, Jens Peter Reus Christensen

Publication date: 1981

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)


zbMATH Keywords

Radon measuresnegative definite functionHoeffding's inequalitycompletely alternating function


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Positive definite functions on groups, semigroups, etc. (43A35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)


Related Items (3)

A general Hoeffding type inequality ⋮ Hoeffding's inequalities: A counterexample ⋮ Willem van Zwet's research



Cites Work

  • Unnamed Item
  • A remark on the multidimensional moment problem
  • Positive definite functions on Abelian semigroups
  • Theory of capacities
  • On the Distribution of the Number of Successes in Independent Trials
  • On completely monotone functions on $C_+(X)$.
  • Some continuity and measurability results on spaces of measures.


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