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Three-Parameter Approximations of Sums of Locally Dependent Random Variables via Stein's Method
Zhonggen Su, Xiaolin Wang
Let be a family of locally dependent non-negative integer-valued random variables with finite expectations and variances. We consider the sum $W=\sum_{i\in J}X_…
Quantitative estimates of the spectral norm of random matrices with independent columns
Guozheng Dai, Zhonggen Su, Hanchao Wang
This paper investigates the nonasymptotic properties of the spectral norm of some random matrices with independent columns. In particular, we consider an random matrix…
Tail Bounds on the Spectral Norm of Sub-Exponential Random Matrices
Guozheng Dai, Zhonggen Su, Hanchao Wang
Let be an symmetric random matrix with independent but non-identically distributed entries. The deviation inequalities of the spectral norm of with Gaussian ent…
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…
On Bernstein Type Inequalities for Stochastic Integrals of Multivariate Point Processes
Hanchao Wang, Zhengyan Lin, Zhonggen Su
We consider the stochastic integrals of multivariate point processes and study their concentration phenomena. In particular, we obtain a Bernstein type of concentration inequality…
A Donsker-type Theorem for Log-likelihood Processes
Zhonggen Su, Hanchao Wang
Let be a complete stochastic basis, a semimartingale with predictable compensator . Consider a family of probability me…