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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.

4 votes
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267 views

Berry–Esseen bound for operator norm of matrix averages

Is there a Berry–Esseen bound for operator norm of an average of independent random matrices? Suppose $A_1, \dotsc, A_n$ are independent matrices with $\mathbb{E}[A_i] = I$ (the identity matrix). Is t …