# 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 there a Berry–Esseen bound for properly normalized $$lVertoverline{A} – IrVert_text{op}$$?

MathOverflow Asked on November 14, 2021

Check out this paper on Berry–Esseen inequalities for random vectors, maybe it will be useful:

Answered by TOM on November 14, 2021

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