scientific article

zbMath0697.62008MaRDI QIDQ3473940

Uwe Küchler, Steffen L. Lauritzen

Publication date: 1989

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Martin boundaryintegral representationconvex setsinfinitely divisible distributionsintegrated Cauchy functional equationpositive definite functionspartial exchangeabilityBondesson classsemicharactertopological Abelian semigroupsextreme point modelscharacterization of exponential families of processesconvolution semigroups of measuresequivalences between spaces of laws of independent-increments processesextreme points of the space of probability laws with fixed conditional distributionsspace-time invariant functionsunified structure

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characterization and structure theory of statistical distributions (62E10) Markov processes (60J99) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

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Exponential families of stochastic processes and Lévy processes ⋮ The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator ⋮ Conditional limit theorems for exponential families and finite versions of de Finetti's theorem ⋮ On exponential families of Markov processes ⋮ Parameter estimation and reverse martingales ⋮ Characterizations of scale mixtures of gamma processes in terms of sufficiency and isotropy ⋮ The standard additive coalescent ⋮ De Finetti's contribution to probability and statistics

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