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摘要
A new Berry-Esseen bound for nonlinear functionals of nonsymmetric and nonhomogeneous infinite Rademacher sequences is established. It is based on a discrete version of the Malliavin-Stein method and an analysis of the discrete Ornstein-Uhlenbeck semigroup. The result is applied to subgraph counts and to the number of vertices having a prescribed degree in the Erd "os-Renyi random graph. A further application deals with a percolation problem on trees.
- 出版日期2017-3
