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math.PR2022★ 1 cited
Approximation of Sums of Locally Dependent Random Variables via Perturbation of Stein Operator
Zhonggen Su, Vladimir V. Ulyanov, Xiaolin Wang
Let be a family of locally dependent nonnegative integer-valued random variables, and consider the sum . We first establish a general…
math.PR2022
On De la Peña Type Inequalities for Point Processes
Naiqi Liu, Vladimir V. Ulyanov, Hanchao Wang
There has been a renewed interest in exponential concentration inequalities for stochastic processes in probability and statistics over the last three decades. De la Peña \cite{d}…