English

On the speed of convergence in the local limit theorem for triangular arrays of random variables

Probability 2013-04-04 v1

Abstract

We establish the upper bound on the speed of convergence to the infinitely divisible limit density in the local limit theorem for triangular arrays of random variables {Xk,n,k=1,..,an,n\nat}\{X_{k,n},\, k=1,..,a_n, \, n\in \nat\}.

Keywords

Cite

@article{arxiv.1304.0797,
  title  = {On the speed of convergence in the local limit theorem for triangular arrays of random variables},
  author = {V. Knopova},
  journal= {arXiv preprint arXiv:1304.0797},
  year   = {2013}
}