English

On Renyi entropy convergence of the max domain of attraction

Other Statistics 2014-04-23 v4

Abstract

In this paper, we prove that the Renyi entropy of linearly normalized partial maxima of independent and identically distributed random variables is convergent to the corresponding limit Renyi entropy when the linearly normalized partial maxima converges to some nondegenerate random variable.

Keywords

Cite

@article{arxiv.1402.0947,
  title  = {On Renyi entropy convergence of the max domain of attraction},
  author = {Ali Saeb},
  journal= {arXiv preprint arXiv:1402.0947},
  year   = {2014}
}