{"corpus_id":125799228,"paper_sha":"416ddd8e82de2d8af6f3ccf870b78ef99341d1f5","doi":"10.3150/17-BEJ939","arxiv_id":null,"pmid":null,"pmcid":null,"mag_id":2798525090,"dblp_id":null,"acl_id":null,"title":"Gaussian approximation for high dimensional vector under physical dependence","year":2018,"publication_date":"2018-11-01","venue":"Bernoulli","journal":{"name":"Bernoulli","pages":null,"volume":null},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Mathematics","Physics"],"reference_count":36,"citation_count":61,"influential_citation_count":8,"is_open_access":true,"arxiv_categories":null,"arxiv_license":null,"arxiv_journal_ref":null,"mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":"https://projecteuclid.org/journals/bernoulli/volume-24/issue-4A/Gaussian-approximation-for-high-dimensional-vector-under-physical-dependence/10.3150/17-BEJ939.pdf","s2_open_access_landing_url":"https://www.semanticscholar.org/paper/416ddd8e82de2d8af6f3ccf870b78ef99341d1f5","s2_open_access_license":null,"s2_open_access_status":"BRONZE","pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"We develop a Gaussian approximation result for the maximum of a sum of weakly dependent vectors, where the data dimension is allowed to be exponentially larger than sample size. 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