Central Limit Theorems for Multicolor Urns with Dominated Colors

TL;DR

This paper establishes central limit theorems for multicolor urn models with dominated colors, providing a theoretical foundation for understanding their asymptotic behavior and discussing relevant statistical applications.

Contribution

It introduces new CLTs for urn models with dominated colors, extending existing results to more complex multicolor scenarios.

Findings

Proved CLTs for urns with dominated colors

Analyzed asymptotic distributions of color proportions

Discussed applications in statistical inference

Abstract

An urn contains balls of d colors. At each time, a ball is drawn and then replaced together with a random number of balls of the same color. Assuming that some colors are dominated by others, we prove central limit theorems. Some statistical applications are discussed.