English

Exact maximum likelihood estimators for drift fractional Brownian motions

Statistics Theory 2009-04-28 v1 Probability Applications Statistics Theory

Abstract

This paper deals with the problems of consistence and strong consistence of the maximum likelihood estimators of the mean and variance of the drift fractional Brownian motions observed at discrete time instants. A central limit theorem for these estimators is also obtained by using the Malliavin calculus.

Keywords

Cite

@article{arxiv.0904.4186,
  title  = {Exact maximum likelihood estimators for drift fractional Brownian motions},
  author = {Hu Yaozhong and Xiao Weilin and Zhang Weiguo},
  journal= {arXiv preprint arXiv:0904.4186},
  year   = {2009}
}