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

Sara Algeri; Xiangyu Zhang; Erik Floden; Hongru Zhao; Galin L. Jones; Vuk Mandic; Jesse Miller

doi:10.1103/74lc-b1gd

Letter

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

Sara Algeri ^1,*, Xiangyu Zhang ¹, Erik Floden ², Hongru Zhao¹, Galin L. Jones ¹, Vuk Mandic ², and Jesse Miller ¹

¹School of Statistics, University of Minnesota, Minneapolis, Minnesota, USA
²School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota, USA

^*Contact author: salgeri@umn.edu

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Phys. Rev. D 113, L021306 – Published 28 January, 2026

DOI: https://doi.org/10.1103/74lc-b1gd

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. This paper has been submitted in conjunction with its companion manuscript [Phys. Rev. D 113, 023051 (2025)].

Physical Review D

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

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

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