{"ID":2900908,"CreatedAt":"2026-06-01T05:51:17.9442275Z","UpdatedAt":"2026-06-01T06:23:29.641557848Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2605.30999","arxiv_id":"2605.30999","title":"Functional central limit theorems for $U$-statistics of beta-mixing data","abstract":"We investigate the convergence of partial sum processes based on a strictly stationary $β$-mixing sequence of random variables. The convergence in the space of continuous function as well as in H{ö}lder spaces is considered. The conditions are close to optimality.","short_abstract":"We investigate the convergence of partial sum processes based on a strictly stationary $β$-mixing sequence of random variables. The convergence in the space of continuous function as well as in H{ö}lder spaces is considered. The conditions are close to optimality.","url_abs":"https://arxiv.org/abs/2605.30999","url_pdf":"https://arxiv.org/pdf/2605.30999v1","authors":"[\"Davide Giraudo\"]","published":"2026-05-29T08:31:37Z","proceeding":"math.PR","tasks":"[\"math.PR\",\"math.ST\"]","methods":"[]","has_code":false}