7 papers · 1 filter
Distributional comparison for non-commutative infinitely divisible probability measures
Arturo Jaramillo, Josue Vazquez-Becerra
We determine ``cumulant-type'' upper bounds of the non-commutative Wasserstein distance for certain classes of distributions and , which are infinite divisible with respec…
Attenuated Poisson Dirichlet approximations for divisibility configurations
Victor Bernal Ramirez, David Torres-Flores, Arturo Jaramillo
We study the point process formed by the normalized logarithms of the distinct prime factors of a harmonic random sample. We prove a quantitative convergence result, in a Wasserste…
Asymptotics for additive functionals of particle systems via Stein's method
Arturo Jaramillo, Antonio Murillo-Salas
We consider additive functionals of systems of random measures whose initial configuration is given by a Poisson point process, and whose individual components evolve according to…
Quantitative and stable limits of high-frequency statistics of Lévy processes: a Stein's method approach
Chiara Amorino, Arturo Jaramillo, Mark Podolskij
We establish inequalities for assessing the distance between the distribution of errors of partially observed high-frequency statistics of multidimensional Lévy processes and that…
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…
Non-commutative Stein's Method: Applications to Free Probability and Sums of Non-commutative Variables
Mario DÃaz, 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…