A note on mixed Poisson distributions
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913687980212224 |
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| author | Kuba, Markus |
| author_facet | Kuba, Markus |
| contents | In this note we discuss additional properties of mixed Poisson distributions. We discuss the convergence of mixed Poisson distributions to its mixing distribution for the scaling parameter tending to infinity. Moreover, we obtain a central limit theorem after centering by its mixing random variable, together with moment convergence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_08274 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on mixed Poisson distributions Kuba, Markus Probability Combinatorics 60C05 In this note we discuss additional properties of mixed Poisson distributions. We discuss the convergence of mixed Poisson distributions to its mixing distribution for the scaling parameter tending to infinity. Moreover, we obtain a central limit theorem after centering by its mixing random variable, together with moment convergence. |
| title | A note on mixed Poisson distributions |
| topic | Probability Combinatorics 60C05 |
| url | https://arxiv.org/abs/2502.08274 |