Testing models for angular power spectra: A distribution-free approach
Data Analysis, Statistics and Probability
2026-01-30 v6 Instrumentation and Methods for Astrophysics
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.
Cite
@article{arxiv.2504.16079,
title = {Testing models for angular power spectra: A distribution-free approach},
author = {Sara Algeri and Xiangyu Zhang and Erik Floden and Hongru Zhao and Galin L. Jones and Vuk Mandic and Jesse Miller},
journal= {arXiv preprint arXiv:2504.16079},
year = {2026}
}