Pointwise translation of the Radon transform and the general central limit problem

DOI10.1214/AOP/1176993597zbMath0514.60025OpenAlexW1978572875MaRDI QIDQ1051334

Marjorie G. Hahn, Michael J. Klass, Peter Hahn

Publication date: 1983

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993597

zbMATH Keywords

Radon transformsigned measurestable lawinfinitely divisible lawradiologymulti-dimensional central limit theorempointwise translatevector translate

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Stochastic processes (60G99) General biology and biomathematics (92B05)

Related Items (5)

On stability of probability laws with univariate stable marginals ⋮ An application of a multivariate central limit theorem to sampling without replacement ⋮ Distances between measures from 1-dimensional projections as implied by continuity of the inverse radon transform ⋮ Affine normability of partial sums of I.I.D. random vectors: A characterization ⋮ A dynamical system approach to Heisenberg uniqueness pairs

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