English

Smoothing effect of Compound Poisson approximation to distribution of weighted sums

Statistics Theory 2013-03-04 v1 Statistics Theory

Abstract

The accuracy of compound Poisson approximation to the sum S=w1S1+w2S2+...+wNSNS=w_1S_1+w_2S_2+...+w_NS_N is estimated. Here SiS_i are sums of independent or weakly dependent random variables, and wiw_i denote weights. The overall smoothing effect of SS on wiSiw_iS_i is estimated by L\' evy concentration function.

Keywords

Cite

@article{arxiv.1303.0159,
  title  = {Smoothing effect of Compound Poisson approximation to distribution of weighted sums},
  author = {Vydas Cekanavicius and Aiste Elijio},
  journal= {arXiv preprint arXiv:1303.0159},
  year   = {2013}
}