First quantitative convergence rates for the free multiplicative CLT in Wasserstein and Kolmogorov distances.
Central Limit for the Product of Free Random Variables
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
The central limit for the product of free random variables are studied by evaluating all the moments of the limit distribution. The logarithm of the central limit is found to be the same as the sum of two independent free random variables: one semicircularly distributed and another uniformly distributed. The logarithm of central limit has a moment-generating function of $\exp(\xi^2 s/2) {_{1}F_{1}}\left(1-s; 2; -\xi^2 s \right)$.
fields
math.OA 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Rates of convergence in the Free Multiplicative Central Limit Theorem
First quantitative convergence rates for the free multiplicative CLT in Wasserstein and Kolmogorov distances.