3 papers
math.PR2025
A new Berry-Esseen-type estimate in the free central limit theorem
Leonie Neufeld
Using the subordination approach, we provide a new Berry-Esseen-type estimate in the free central limit theorem in terms of the fourth Lyapunov fraction. In the special case of ide…
math.PR2024
Weighted Sums and Berry-Esseen type estimates in Free Probability Theory
Leonie Neufeld
We study weighted sums of free identically distributed self-adjoint random variables with weights chosen randomly from the unit sphere and show that the Kolmogorov distance between…
math.PR2024
Self-normalized Sums in Free Probability Theory
Leonie Neufeld
We show that the distribution of self-normalized sums of free self-adjoint random variables converges weakly to Wigner's semicircle law under appropriate conditions and estimate th…