arXiv Open Access 2021

Urn models with random multiple drawing and random addition

Irene Crimaldi Pierre-Yves Louis Ida Germana Minelli

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Abstrak

We consider an urn model with multiple drawing and random time-dependent addition matrix. The model is very general with respect to previous literature: the number of sampled balls at each time-step is random, the addition matrix has general random entries. For the proportion of balls of a given color, we prove almost sure convergence results and fluctuation theorems (through CLTs in the sense of stable convergence and of almost sure conditional convergence, which are stronger than convergence in distribution). Asymptotic confidence intervals are given for the limit proportion, whose distribution is generally unknown.

Topik & Kata Kunci

math.PR math.ST

Penulis (3)

Irene Crimaldi

Pierre-Yves Louis

Ida Germana Minelli

Format Sitasi

APA MLA BibTeX

Crimaldi, I., Louis, P., Minelli, I.G. (2021). Urn models with random multiple drawing and random addition. https://arxiv.org/abs/2102.06287

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓