The Urn of Hill, Lane and Sudderth
Probability
2025-11-13 v2
Abstract
We review some facts, properties and applications of the urn of Hill, Lane and Sudderth, a paradigmatic model of stochastic process with memory where the urn evolution is as follows: consider an urn of given capacity, at each step a new ball, black or white, is added to the urn with probability that is function (urn function) of the fraction of black balls. The process runs until capacity is reached.
Cite
@article{arxiv.2506.20826,
title = {The Urn of Hill, Lane and Sudderth},
author = {Simone Franchini},
journal= {arXiv preprint arXiv:2506.20826},
year = {2025}
}
Comments
27 pages, 9 figures