English

Approximations to Weighted Sums of Random Variables

Probability 2020-10-20 v2

Abstract

In this paper, we obtain error bound for binomial and negative binomial approximations to weighted sums of locally dependent random variables, using Stein's method. We also discuss approximation results for weighted sums of independent random variables. We demonstrate our results through some applications in finance and runs in statistics.

Keywords

Cite

@article{arxiv.2006.14283,
  title  = {Approximations to Weighted Sums of Random Variables},
  author = {Amit N. Kumar},
  journal= {arXiv preprint arXiv:2006.14283},
  year   = {2020}
}

Comments

18 pages

R2 v1 2026-06-23T16:37:06.138Z