New Berry–Esseen bounds for functionals of binomial point processes
New Berry–Esseen bounds for functionals of binomial point processes
We obtain explicit Berry–Esseen bounds in the Kolmogorov distance for the normal approximation of nonlinear functionals of vectors of independent random variables. Our results are based on the use of Stein's method and of random difference operators, and generalise the bounds obtained by Chatterjee (2008), concerning normal approximations in the …