Testing models for angular power spectra: A distribution-free approach
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866912856355635200 |
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| author | Algeri, Sara Zhang, Xiangyu Floden, Erik Zhao, Hongru Jones, Galin L. Mandic, Vuk Miller, Jesse |
| author_facet | Algeri, Sara Zhang, Xiangyu Floden, Erik Zhao, Hongru Jones, Galin L. Mandic, Vuk Miller, Jesse |
| contents | A novel goodness-of-fit strategy is introduced for testing models of angular power spectra with unknown parameters. Using this strategy, it is possible to assess the validity of such models without specifying the distribution of the angular power spectrum estimators. This holds under general conditions, ensuring the method's applicability in diverse applications. Moreover, the proposed solution overcomes the need for case-by-case simulations when testing different models, leading to notable computational advantages. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16079 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Testing models for angular power spectra: A distribution-free approach Algeri, Sara Zhang, Xiangyu Floden, Erik Zhao, Hongru Jones, Galin L. Mandic, Vuk Miller, Jesse Data Analysis, Statistics and Probability Instrumentation and Methods for Astrophysics A novel goodness-of-fit strategy is introduced for testing models of angular power spectra with unknown parameters. Using this strategy, it is possible to assess the validity of such models without specifying the distribution of the angular power spectrum estimators. This holds under general conditions, ensuring the method's applicability in diverse applications. Moreover, the proposed solution overcomes the need for case-by-case simulations when testing different models, leading to notable computational advantages. |
| title | Testing models for angular power spectra: A distribution-free approach |
| topic | Data Analysis, Statistics and Probability Instrumentation and Methods for Astrophysics |
| url | https://arxiv.org/abs/2504.16079 |