2 papers
math.PR2025
Stein's method, Markov processes, and linear eigenvalue statistics of random matrices
David Grzybowski, Mark Meckes
We show how the infinitesimal exchangeable pairs approach to Stein's method combines naturally with the theory of Markov semigroups. We present a multivariate normal approximation…
math.PR2020
Limit Theorems for Random Sums of Random Summands
David Grzybowski
We prove limit theorems for sums of randomly chosen random variables conditioned on the summands. We consider several versions of the corner growth setting, including specific case…