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Asymptotic distribution of independent random vectors given their sum

Probability 2022-01-19 v9

Abstract

In this paper we present a conditional principle of Gibbs type for independent nonidentically distributed random vectors. We obtain this result by performing Edgeworth expansions for densities of sums of independent random vectors.

Keywords

Cite

@article{arxiv.1711.09994,
  title  = {Asymptotic distribution of independent random vectors given their sum},
  author = {Dimbihery Rabenoro},
  journal= {arXiv preprint arXiv:1711.09994},
  year   = {2022}
}