On the Tail Estimation of the Norm of Rademacher Sums

The main aim of this paper is to prove a bilateral inequality for , where t > 0, (ak) are elements of a normed space, while (rk) are Rademacher functions. Then this inequality is applied for estimation of . As another corollary we give a maximal inequality for exchangeable random variables that r...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Georgian mathematical journal 2001-06, Vol.8 (2), p.237-244
Hauptverfasser:	Chobanyan, S., Salehi, H.
Format:	Artikel
Sprache:	eng
Schlagworte:	exchangeable system of random variables maximal inequality Rademacher sums tail estimation
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

container_end_page	244
container_issue	2
container_start_page	237
container_title	Georgian mathematical journal
container_volume	8
creator	Chobanyan, S. Salehi, H.
description	The main aim of this paper is to prove a bilateral inequality for , where t > 0, (ak) are elements of a normed space, while (rk) are Rademacher functions. Then this inequality is applied for estimation of . As another corollary we give a maximal inequality for exchangeable random variables that recently has been published in [Pruss, Proc. Amer. Math. Soc. 126: 1811–1819, 1998].
doi_str_mv	10.1515/GMJ.2001.237
format	Article
fullrecord	<record><control><sourceid>istex_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1515_GMJ_2001_237</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>ark_67375_QT4_SR9WK9C1_L</sourcerecordid><originalsourceid>FETCH-LOGICAL-c145t-abe6db82e23f328417a56015976509991949c300d43e3e8556420bbbf01121953</originalsourceid><addsrcrecordid>eNo9j91Og0AQhTdGE2v1zgfgAQRn9odlLw2prYo2thi92yywpGgpZhcTfXvBqldzMvlycj5CzhEiFCgu5_e3EQXAiDJ5QCYIkoYKZXz4l7l8OSYn3r8CUKAsmRCx3AX9xga5abbBzPdNa_qm2wVd_fN-6Fw75pWpbGvKjXXB-qP1p-SoNltvz37vlDxdz_J0EWbL-U16lYUlctGHprBxVSTUUlYzmnCURsSAQslYgFIKFVclA6g4s8wmQsScQlEUNSBSVIJNycW-t3Sd987W-t0NC92XRtCjsh6U9aisB-UBD_d443v7-c8a96ZjyaTQjznX65V6vlMp6ox9A3T4VTM</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On the Tail Estimation of the Norm of Rademacher Sums</title><source>EZB-FREE-00999 freely available EZB journals</source><creator>Chobanyan, S. ; Salehi, H.</creator><creatorcontrib>Chobanyan, S. ; Salehi, H.</creatorcontrib><description>The main aim of this paper is to prove a bilateral inequality for , where t > 0, (ak) are elements of a normed space, while (rk) are Rademacher functions. Then this inequality is applied for estimation of . As another corollary we give a maximal inequality for exchangeable random variables that recently has been published in [Pruss, Proc. Amer. Math. Soc. 126: 1811–1819, 1998].</description><identifier>ISSN: 1072-947X</identifier><identifier>EISSN: 1072-9176</identifier><identifier>EISSN: 1572-9176</identifier><identifier>DOI: 10.1515/GMJ.2001.237</identifier><language>eng</language><publisher>Walter de Gruyter GmbH & Co. KG</publisher><subject>exchangeable system of random variables ; maximal inequality ; Rademacher sums ; tail estimation</subject><ispartof>Georgian mathematical journal, 2001-06, Vol.8 (2), p.237-244</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27922,27923</link.rule.ids></links><search><creatorcontrib>Chobanyan, S.</creatorcontrib><creatorcontrib>Salehi, H.</creatorcontrib><title>On the Tail Estimation of the Norm of Rademacher Sums</title><title>Georgian mathematical journal</title><addtitle>Georgian Mathematical Journal</addtitle><description>The main aim of this paper is to prove a bilateral inequality for , where t > 0, (ak) are elements of a normed space, while (rk) are Rademacher functions. Then this inequality is applied for estimation of . As another corollary we give a maximal inequality for exchangeable random variables that recently has been published in [Pruss, Proc. Amer. Math. Soc. 126: 1811–1819, 1998].</description><subject>exchangeable system of random variables</subject><subject>maximal inequality</subject><subject>Rademacher sums</subject><subject>tail estimation</subject><issn>1072-947X</issn><issn>1072-9176</issn><issn>1572-9176</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><recordid>eNo9j91Og0AQhTdGE2v1zgfgAQRn9odlLw2prYo2thi92yywpGgpZhcTfXvBqldzMvlycj5CzhEiFCgu5_e3EQXAiDJ5QCYIkoYKZXz4l7l8OSYn3r8CUKAsmRCx3AX9xga5abbBzPdNa_qm2wVd_fN-6Fw75pWpbGvKjXXB-qP1p-SoNltvz37vlDxdz_J0EWbL-U16lYUlctGHprBxVSTUUlYzmnCURsSAQslYgFIKFVclA6g4s8wmQsScQlEUNSBSVIJNycW-t3Sd987W-t0NC92XRtCjsh6U9aisB-UBD_d443v7-c8a96ZjyaTQjznX65V6vlMp6ox9A3T4VTM</recordid><startdate>200106</startdate><enddate>200106</enddate><creator>Chobanyan, S.</creator><creator>Salehi, H.</creator><general>Walter de Gruyter GmbH & Co. KG</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>200106</creationdate><title>On the Tail Estimation of the Norm of Rademacher Sums</title><author>Chobanyan, S. ; Salehi, H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c145t-abe6db82e23f328417a56015976509991949c300d43e3e8556420bbbf01121953</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>exchangeable system of random variables</topic><topic>maximal inequality</topic><topic>Rademacher sums</topic><topic>tail estimation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chobanyan, S.</creatorcontrib><creatorcontrib>Salehi, H.</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><jtitle>Georgian mathematical journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chobanyan, S.</au><au>Salehi, H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the Tail Estimation of the Norm of Rademacher Sums</atitle><jtitle>Georgian mathematical journal</jtitle><addtitle>Georgian Mathematical Journal</addtitle><date>2001-06</date><risdate>2001</risdate><volume>8</volume><issue>2</issue><spage>237</spage><epage>244</epage><pages>237-244</pages><issn>1072-947X</issn><eissn>1072-9176</eissn><eissn>1572-9176</eissn><abstract>The main aim of this paper is to prove a bilateral inequality for , where t > 0, (ak) are elements of a normed space, while (rk) are Rademacher functions. Then this inequality is applied for estimation of . As another corollary we give a maximal inequality for exchangeable random variables that recently has been published in [Pruss, Proc. Amer. Math. Soc. 126: 1811–1819, 1998].</abstract><pub>Walter de Gruyter GmbH & Co. KG</pub><doi>10.1515/GMJ.2001.237</doi><tpages>8</tpages></addata></record>
fulltext	fulltext
identifier	ISSN: 1072-947X
ispartof	Georgian mathematical journal, 2001-06, Vol.8 (2), p.237-244
issn	1072-947X 1072-9176 1572-9176
language	eng
recordid	cdi_crossref_primary_10_1515_GMJ_2001_237
source	EZB-FREE-00999 freely available EZB journals
subjects	exchangeable system of random variables maximal inequality Rademacher sums tail estimation
title	On the Tail Estimation of the Norm of Rademacher Sums
url	https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-09T12%3A36%3A27IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-istex_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20Tail%20Estimation%20of%20the%20Norm%20of%20Rademacher%20Sums&rft.jtitle=Georgian%20mathematical%20journal&rft.au=Chobanyan,%20S.&rft.date=2001-06&rft.volume=8&rft.issue=2&rft.spage=237&rft.epage=244&rft.pages=237-244&rft.issn=1072-947X&rft.eissn=1072-9176&rft_id=info:doi/10.1515/GMJ.2001.237&rft_dat=%3Cistex_cross%3Eark_67375_QT4_SR9WK9C1_L%3C/istex_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true