The paper claims a new free Stein method with total-variation and Wasserstein Berry-Esseen rates for weakly dependent sums, but a load-bearing Cauchy integral step is not valid for the test functions used.
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Non-commutative Stein's Method: Applications to Free Probability and Sums of Non-commutative Variables
The paper claims a new free Stein method with total-variation and Wasserstein Berry-Esseen rates for weakly dependent sums, but a load-bearing Cauchy integral step is not valid for the test functions used.