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Theory of Probability and Its Applications
Article . 1985 . Peer-reviewed
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On Indecomposable Laws with Infinitely Divisible Projections

On decomposable laws with infinitely divisible projections
Authors: Ushakov, V. G.; Ushakov, N. G.;

On Indecomposable Laws with Infinitely Divisible Projections

Abstract

For any \(n\geq 2\) the authors construct the n-dimensional indecomposable distributions whose all one-dimensional projections are infinitely divisible. A somewhat stronger result in which the infinite divisibility of the projections on all subspaces of all dimensions \(1\leq k\leq n-1\) is guaranteed was obtained independently in the paper by \textit{Z. Bai} and \textit{C. Su}, Sci. Sin. Ser. A 25, 680-692 (1982; Zbl 0501.60023).

Keywords

Infinitely divisible distributions; stable distributions, Probability distributions: general theory, n-dimensional indecomposable distributions, infinitely divisible

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
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