Approximation of Sums of Locally Dependent Random Variables via Perturbation of Stein Operator

Zhonggen Su, Vladimir V. Ulyanov, Xiaolin Wang

Let $(X_i,i\in J)$ be a family of locally dependent nonnegative integer-valued random variables, and consider the sum $W={\sum }_{i\in J}{X}_i$. We first establish a general…