Statistical test for an urn model with random multidrawing and random addition
Statistics Theory
2022-08-05 v3 Statistics Theory
Abstract
We complete the study of the model introduced in [11]. It is a two-color urn model with multiple drawing and random (non-balanced) time-dependent reinforcement matrix. The number of sampled balls at each time-step is random. We identify the exact rates at which the number of balls of each color grows to infinity and define two strongly consistent estimators for the limiting reinforcement averages. Then we prove a Central Limit Theorem, which allows to design a statistical test for such averages.
Cite
@article{arxiv.2206.05515,
title = {Statistical test for an urn model with random multidrawing and random addition},
author = {Irene Crimaldi and Pierre-Yves Louis and Ida G. Minelli},
journal= {arXiv preprint arXiv:2206.05515},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2102.06287