{"ID":2886625,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2508.01973","arxiv_id":"2508.01973","title":"A New Class of Asymptotically Distribution-Free Smooth Tests","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.","short_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 mode...","url_abs":"https://arxiv.org/abs/2508.01973","url_pdf":"https://arxiv.org/pdf/2508.01973v3","authors":"[\"Xiangyu Zhang\",\"Sara Algeri\"]","published":"2025-08-04T01:15:07Z","proceeding":"math.ST","tasks":"[\"math.ST\",\"stat.ME\"]","methods":"[]","has_code":false}