Poisson Approximation to Weighted Sums of Locally Dependent Random Variables

TL;DR

This paper improves Poisson approximation techniques for weighted sums of locally dependent random variables using Stein's method, offering enhanced accuracy and practical numerical comparisons.

Contribution

It presents a significantly improved Poisson approximation result for weighted sums of locally dependent variables using Stein's method.

Findings

Enhanced approximation accuracy demonstrated

Numerical comparisons validate the theoretical improvements

Applicable to complex dependent structures

Abstract

This paper deals with Poisson approximation to weighted sums of locally dependent random variables using Stein's method. The derived result represents a significant improvement of existing results. To illustrate the effectiveness of our findings, a numerical comparison is provided.