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math.PR2026
Quantitative limit theorems for generalized Pólya urns with applications to random tree models
Morenikeji Neri, Pedro Pinto
We establish novel quantitative limit theorems for the asymptotic distribution of colours in a generalized Pólya urn. Concretely, we construct explicit rates of convergence for th…
math.PR2024
On quantitative convergence for stochastic processes: Crossings, fluctuations and martingales
Morenikeji Neri, Thomas Powell
We develop a general framework for extracting highly uniform bounds on local stability for stochastic processes in terms of information on fluctuations or crossings. This includes…
math.PR2024
Quantitative Strong Laws of Large Numbers
Morenikeji Neri
Using proof-theoretic methods in the style of proof mining, we give novel computationally effective limit theorems for the convergence of the Cesaro-means of certain sequences of r…