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math.PR2024
Non-commutative Stein's Method: Applications to Free Probability and Sums of Non-commutative Variables
Mario Díaz, Arturo Jaramillo
We present a straightforward formulation of Stein's method for the semicircular distribution, specifically designed for the analysis of non-commutative random variables. Our approa…
math.PR2024
Approximation of Smooth Numbers for Harmonic Samples A Stein method Approach
Arturo Jaramillo, Xiaochuan Yang
We present a de Bruijn type approximation for quantifying the content of m smooth numbers, derived from samples obtained through a probability measure over the set of integers less…