Unbalanced multi-drawing urn with random addition matrix II
Rafik Aguech, Wissem Jedidi, Olfa Selmi
TL;DR
This paper investigates an extended Polya urn model with two colors, analyzing the asymptotic behavior of the proportion of white balls through laws of large numbers and central limit theorems.
Contribution
It introduces an extended urn model with random addition matrices and establishes new asymptotic results for the proportion of white balls.
Findings
Proved strong law of large numbers for the model
Established central limit theorem for the proportion of white balls
Analyzed the impact of random addition matrices on urn dynamics
Abstract
An extended Polya urn Model with two colors, black and white, is studied with some SLLN and CLT on the proportion of white balls.
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Taxonomy
TopicsStochastic processes and statistical mechanics