English

Law of large numbers for non-additive measures

Probability 2009-06-02 v2 Statistics Theory Statistics Theory

Abstract

Our aim is to give for some classes non-additive measures some limit theorems. For balanced games we obtain a weak and strong law of large numbers for bounded random variables, a sharper conclusion is obtain with exact games. We provide an extension to upper enveloppe measures.

Keywords

Cite

@article{arxiv.0801.0984,
  title  = {Law of large numbers for non-additive measures},
  author = {Yann Rebille},
  journal= {arXiv preprint arXiv:0801.0984},
  year   = {2009}
}

Comments

This paper has been withdrawn by the author, due a publication. 12 pages