The Urn of Hill, Lane and Sudderth

Fuente: arXiv
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Main Author: Franchini, Simone
Format: Preprint
Published: 2025
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_version_ 1866908646508593152
author Franchini, Simone
author_facet Franchini, Simone
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_20826
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Urn of Hill, Lane and Sudderth
Franchini, Simone
Probability
91B02, 91B42, 91B82
G.3; I.6
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.
title The Urn of Hill, Lane and Sudderth
topic Probability
91B02, 91B42, 91B82
G.3; I.6
url https://arxiv.org/abs/2506.20826