An Analogue of the LÉvy-CramÉr Theorem for Multi-Dimensional Rayleigh Distributions

Details An Analogue of the LÉvy-CramÉr Theorem for Multi-Dimensional Rayleigh Distributions An Analogue of the LÉvy-CramÉr Theorem for Multi-Dimensional Rayleigh Distributions

2009-07-29

arxiv.org/abs/0907.5035v3

Mathematics

Probability

8 pages

Scientific paper

In the present paper we prove that every k-dimensional Cartesian product of
Kingman convolutions can be embedded into a k-dimensional symmetric convolution
(k=1, 2, ...) and obtain an analogue of the Cram\'er-L\'evy theorem for
multi-dimensional Rayleigh distributions.

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