English

An Analogue of the L\'Evy-Cram\'Er Theorem for Multi-Dimensional Rayleigh Distributions

Probability 2010-01-24 v3

Abstract

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.

Keywords

Cite

@article{arxiv.0907.5035,
  title  = {An Analogue of the L\'Evy-Cram\'Er Theorem for Multi-Dimensional Rayleigh Distributions},
  author = {Thu Nguyen},
  journal= {arXiv preprint arXiv:0907.5035},
  year   = {2010}
}

Comments

8 pages