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math.PR2018★ 2 cited
Poisson and normal approximations for the measurable functions of independent random variables
Nguyen Tien Dung
In this paper we use a Malliavin-Stein type method to investigate Poisson and normal approximations for the measurable functions of infinitely many independent random variables. We…
math.PR2018
Explicit rates of convergence in the multivariate CLT for nonlinear statistics
Nguyen Tien Dung
We investigate the multivariate central limit theorem for nonlinear statistics by means of Stein's method and Slepian's smart path interpolation method. Based on certain difference…