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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.16420 |
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| _version_ | 1866910499727212544 |
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| author | Vamvakari, Malvina |
| author_facet | Vamvakari, Malvina |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16420 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local Limit Theorems for $q$-Multinomial and Multiple Heine Distributions Vamvakari, Malvina Discrete Mathematics G.3;G.2 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. |
| title | Local Limit Theorems for $q$-Multinomial and Multiple Heine Distributions |
| topic | Discrete Mathematics G.3;G.2 |
| url | https://arxiv.org/abs/2406.16420 |