Some Gaussianity criteria for Khinchin families
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913653028028416 |
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| author | Maciá, Víctor J. |
| author_facet | Maciá, Víctor J. |
| contents | In this note we establish simple and verifiable analytical conditions for a power series f in the class K, and its associated Khinchin family, to be Gaussian. We give several moment criteria for general power series with non-negative coefficients in K and also provide several applications of these criteria. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04375 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some Gaussianity criteria for Khinchin families Maciá, Víctor J. Probability Complex Variables 30B10, 30D20, 60E05, 60F05 In this note we establish simple and verifiable analytical conditions for a power series f in the class K, and its associated Khinchin family, to be Gaussian. We give several moment criteria for general power series with non-negative coefficients in K and also provide several applications of these criteria. |
| title | Some Gaussianity criteria for Khinchin families |
| topic | Probability Complex Variables 30B10, 30D20, 60E05, 60F05 |
| url | https://arxiv.org/abs/2501.04375 |