Local Limit Theorems for $q$-Multinomial and Multiple Heine Distributions

Document detail

ID

oai:arXiv.org:2406.16420

Topic

Computer Science - Discrete Mathem... G.3 G.2

Author

Vamvakari, Malvina

Year

2024

listing date

6/26/2024

Keywords

multiple distribution heine limit

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Abstract

In this work we establish local limit theorems for q-multinomial and multiple Heine distributions.

Specifically, the pointwise convergence of the q-multinomial distribution of the first kind, as well as for its discrete limit, the multiple Heine distribution, to a multivariate Stieltjes-Wigert type distribution, are provided.

;Comment: In Proceedings GASCom 2024, arXiv:2406.14588

Vamvakari, Malvina, 2024, Local Limit Theorems for $q$-Multinomial and Multiple Heine Distributions

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