{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/regenerative-bootstrap-for-b-null-recurrent","title":"Regenerative bootstrap for $β$-null recurrent Markov chains","arxiv_id":"2407.05284","date":"2024-07-07","proceeding":null,"authors":["Carlos Fernández"],"abstract":"Two regeneration-based bootstrap methods, namely, the \\textit{Regeneration based-bootstrap} \\cite{AthreyaFuh1992, Somnat-1993} and the \\textit{Regenerative Block bootstrap} \\cite{Bertail2006} are shown to be valid for the problem of estimating the integral of a function with respect to the invariant measure in a $\\beta$-null recurrent Markov chain with an accessible atom. An extension of the Central Limit Theorem for randomly indexed sequences is also presented.","url_abs":"https://arxiv.org/abs/2407.05284v1","url_pdf":"https://arxiv.org/pdf/2407.05284v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"regenerative-bootstrap-for-b-null-recurrent","repo_url":"https://github.com/carlosds731/boostrap_markov","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}