A central limit theorem for random tangent fields on stratified spaces
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866915089764843520 |
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| author | Mattingly, Jonathan C. Miller, Ezra Tran, Do |
| author_facet | Mattingly, Jonathan C. Miller, Ezra Tran, Do |
| contents | Variation of empirical Fréchet means on a metric space with curvature bounded above is encoded via random fields indexed by unit tangent vectors. A central limit theorem shows these random tangent fields converge to a Gaussian such field and lays the foundation for more traditionally formulated central limit theorems in subsequent work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_09454 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A central limit theorem for random tangent fields on stratified spaces Mattingly, Jonathan C. Miller, Ezra Tran, Do Probability Metric Geometry Statistics Theory Primary: 60F05, 53C23, 60D05, 60B05, 49J52, 62R20, 62R07, 57N80, 58A35, 58Z05, 53C80, 62G20, 62R30, 28C99, Secondary: 58K30, 57R57, 92B10 Variation of empirical Fréchet means on a metric space with curvature bounded above is encoded via random fields indexed by unit tangent vectors. A central limit theorem shows these random tangent fields converge to a Gaussian such field and lays the foundation for more traditionally formulated central limit theorems in subsequent work. |
| title | A central limit theorem for random tangent fields on stratified spaces |
| topic | Probability Metric Geometry Statistics Theory Primary: 60F05, 53C23, 60D05, 60B05, 49J52, 62R20, 62R07, 57N80, 58A35, 58Z05, 53C80, 62G20, 62R30, 28C99, Secondary: 58K30, 57R57, 92B10 |
| url | https://arxiv.org/abs/2311.09454 |