3 papers
math.ST2026
A New Class of Asymptotically Distribution-Free Smooth Tests
Xiangyu Zhang, Sara Algeri
This article demonstrates how recent developments in the theory of empirical processes allow us to construct a new family of asymptotically distribution-free smooth tests. Their di…
astro-ph.IM2026
On Validating Angular Power Spectral Models for the Stochastic Gravitational-Wave Background Without Distributional Assumptions
Xiangyu Zhang, Erik Floden, Hongru Zhao +4
It is demonstrated that estimators of the angular power spectrum commonly used for the stochastic gravitational-wave background (SGWB) lack a closed-form analytical expression for…
physics.data-an2026
Testing models for angular power spectra: A distribution-free approach
Sara Algeri, Xiangyu Zhang, Erik Floden +4
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 su…