Testing models for angular power spectra: A distribution-free approach

2025/04/22 by Sara Algeri, Xiangyu Zhang, Algeri, Sara +11 · 1 voice · 1 citation
Physics and Astronomy · #Data Analysis #FOS: Physical sciences #Instrumentation and Methods for Astrophysics (astro-ph.IM) #Statistics and Probability (physics.data-an) #astro-ph.IM #physics.data-an

paper · pdf · doi:10.48550/arxiv.2504.16079

arxiv published 2025/04/22 · arxiv updated 2026/01/28

Abstract

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.

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Cited by

• Distribution-free data-driven smooth tests without χ²

Discussions

• Sara Algeri, Xiangyu Zhang, Erik Floden, Hongru Zhao, Galin L. Jones, Vuk Mandic, Jesse Miller: A Distribution-Free Approach to Testing Models for Angular Power Spectra https://arxiv.org/abs/2504.1607 [bsky, 1 points, 1 comments]

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