A new class of asymptotically distribution-free smooth tests

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Authors: Xiangyu Zhang, Sara Algeri
Cited by: 0

Abstract

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 distribution-free property is preserved even when the parameters are estimated, model selection is performed, and the sample size is only moderately large. A computationally efficient alternative to the classical parametric bootstrap is also discussed.

Fields of Study & Subjects

Statistical Methods and Inference Bayesian Methods and Mixture Models Financial Risk and Volatility Modeling

Publication details

Journal / source
Electronic Journal of Statistics
Volume
20
Issue
1
Publication date
1 January 2026
Language
EN