Exact norms of a Stein-type operator and associated stochastic orderings
Motivated by asymptotic expansions in the central limit theorem, we find exact norms of a sequence of Stein-type operators. The proof is based on new stochastic comparisons in distribution between the difference of two independent transformed normal variables and the standard normal distribution.
Gespeichert in:
| Veröffentlicht in: | Probability theory and related fields 2003-11, Vol.127 (3), p.353-366 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 366 |
|---|---|
| container_issue | 3 |
| container_start_page | 353 |
| container_title | Probability theory and related fields |
| container_volume | 127 |
| creator | LEFEVRE, Claude UTEV, Sergey |
| description | Motivated by asymptotic expansions in the central limit theorem, we find exact norms of a sequence of Stein-type operators. The proof is based on new stochastic comparisons in distribution between the difference of two independent transformed normal variables and the standard normal distribution. |
| doi_str_mv | 10.1007/s00440-003-0288-9 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2661265632</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>679609001</sourcerecordid><originalsourceid>FETCH-LOGICAL-c371t-d7d1f3cecfae5fa300d2ce5ede459448e9b3a586ad87614c60456240d42691a33</originalsourceid><addsrcrecordid>eNp1kM1KAzEURoMoWKsP4C4oLqM3vzOzlFKtUHChrsM1yeiUdjImKdi3d0oFV67u5nznwiHkksMtB6juMoBSwAAkA1HXrDkiE66kYAKMOiYT4FXNatD8lJzlvAIAIZWYkMX8G12hfUybTGNLkb6U0PWs7IZA4xASlpgo9p5iztF1WIKnuUT3ibl0jsbkQ-r6j3xOTlpc53Dxe6fk7WH-Oluw5fPj0-x-yZyseGG-8ryVLrgWg25RAnjhgg4-KN0oVYfmXaKuDfq6Mlw5A0obocArYRqOUk7J9cE7pPi1DbnYVdymfnxphTFcGG2kGKmrfykpheGc71X8ALkUc06htUPqNph2loPdV7WHqnasavdVbTNubn7FmB2u24S96_LfUEuo5Rj-B8lmdfQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>233261113</pqid></control><display><type>article</type><title>Exact norms of a Stein-type operator and associated stochastic orderings</title><source>SpringerNature Journals</source><source>EBSCOhost Business Source Complete</source><creator>LEFEVRE, Claude ; UTEV, Sergey</creator><creatorcontrib>LEFEVRE, Claude ; UTEV, Sergey</creatorcontrib><description>Motivated by asymptotic expansions in the central limit theorem, we find exact norms of a sequence of Stein-type operators. The proof is based on new stochastic comparisons in distribution between the difference of two independent transformed normal variables and the standard normal distribution.</description><identifier>ISSN: 0178-8051</identifier><identifier>EISSN: 1432-2064</identifier><identifier>DOI: 10.1007/s00440-003-0288-9</identifier><identifier>CODEN: PTRFEU</identifier><language>eng</language><publisher>Heidelberg: Springer</publisher><subject>Asymptotic series ; Central limit theorem ; Digital Object Identifier ; Distribution theory ; Exact sciences and technology ; Independent variables ; Limit theorems ; Mathematical analysis ; Mathematics ; Normal distribution ; Norms ; Operator theory ; Polynomials ; Probability ; Probability and statistics ; Probability theory and stochastic processes ; Random variables ; Sciences and techniques of general use</subject><ispartof>Probability theory and related fields, 2003-11, Vol.127 (3), p.353-366</ispartof><rights>2004 INIST-CNRS</rights><rights>Copyright Springer-Verlag 2003</rights><rights>Springer-Verlag Berlin Heidelberg 2003.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c371t-d7d1f3cecfae5fa300d2ce5ede459448e9b3a586ad87614c60456240d42691a33</citedby><cites>FETCH-LOGICAL-c371t-d7d1f3cecfae5fa300d2ce5ede459448e9b3a586ad87614c60456240d42691a33</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=15308314$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>LEFEVRE, Claude</creatorcontrib><creatorcontrib>UTEV, Sergey</creatorcontrib><title>Exact norms of a Stein-type operator and associated stochastic orderings</title><title>Probability theory and related fields</title><description>Motivated by asymptotic expansions in the central limit theorem, we find exact norms of a sequence of Stein-type operators. The proof is based on new stochastic comparisons in distribution between the difference of two independent transformed normal variables and the standard normal distribution.</description><subject>Asymptotic series</subject><subject>Central limit theorem</subject><subject>Digital Object Identifier</subject><subject>Distribution theory</subject><subject>Exact sciences and technology</subject><subject>Independent variables</subject><subject>Limit theorems</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Normal distribution</subject><subject>Norms</subject><subject>Operator theory</subject><subject>Polynomials</subject><subject>Probability</subject><subject>Probability and statistics</subject><subject>Probability theory and stochastic processes</subject><subject>Random variables</subject><subject>Sciences and techniques of general use</subject><issn>0178-8051</issn><issn>1432-2064</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp1kM1KAzEURoMoWKsP4C4oLqM3vzOzlFKtUHChrsM1yeiUdjImKdi3d0oFV67u5nznwiHkksMtB6juMoBSwAAkA1HXrDkiE66kYAKMOiYT4FXNatD8lJzlvAIAIZWYkMX8G12hfUybTGNLkb6U0PWs7IZA4xASlpgo9p5iztF1WIKnuUT3ibl0jsbkQ-r6j3xOTlpc53Dxe6fk7WH-Oluw5fPj0-x-yZyseGG-8ryVLrgWg25RAnjhgg4-KN0oVYfmXaKuDfq6Mlw5A0obocArYRqOUk7J9cE7pPi1DbnYVdymfnxphTFcGG2kGKmrfykpheGc71X8ALkUc06htUPqNph2loPdV7WHqnasavdVbTNubn7FmB2u24S96_LfUEuo5Rj-B8lmdfQ</recordid><startdate>20031101</startdate><enddate>20031101</enddate><creator>LEFEVRE, Claude</creator><creator>UTEV, Sergey</creator><general>Springer</general><general>Springer Nature B.V</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7WY</scope><scope>7WZ</scope><scope>7XB</scope><scope>87Z</scope><scope>88I</scope><scope>8AL</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8FL</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FRNLG</scope><scope>F~G</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K60</scope><scope>K6~</scope><scope>K7-</scope><scope>L.-</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0C</scope><scope>M0N</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20031101</creationdate><title>Exact norms of a Stein-type operator and associated stochastic orderings</title><author>LEFEVRE, Claude ; UTEV, Sergey</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c371t-d7d1f3cecfae5fa300d2ce5ede459448e9b3a586ad87614c60456240d42691a33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Asymptotic series</topic><topic>Central limit theorem</topic><topic>Digital Object Identifier</topic><topic>Distribution theory</topic><topic>Exact sciences and technology</topic><topic>Independent variables</topic><topic>Limit theorems</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Normal distribution</topic><topic>Norms</topic><topic>Operator theory</topic><topic>Polynomials</topic><topic>Probability</topic><topic>Probability and statistics</topic><topic>Probability theory and stochastic processes</topic><topic>Random variables</topic><topic>Sciences and techniques of general use</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>LEFEVRE, Claude</creatorcontrib><creatorcontrib>UTEV, Sergey</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Access via ABI/INFORM (ProQuest)</collection><collection>ABI/INFORM Global (PDF only)</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ABI/INFORM Global (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>Computing Database (Alumni Edition)</collection><collection>ProQuest Pharma Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ABI/INFORM Collection (Alumni Edition)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Business Premium Collection</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Business Premium Collection (Alumni)</collection><collection>ABI/INFORM Global (Corporate)</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>Aerospace Database</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>ProQuest Business Collection (Alumni Edition)</collection><collection>ProQuest Business Collection</collection><collection>Computer Science Database</collection><collection>ABI/INFORM Professional Advanced</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>ABI/INFORM Global</collection><collection>Computing Database</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Business</collection><collection>ProQuest One Business (Alumni)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Probability theory and related fields</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>LEFEVRE, Claude</au><au>UTEV, Sergey</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exact norms of a Stein-type operator and associated stochastic orderings</atitle><jtitle>Probability theory and related fields</jtitle><date>2003-11-01</date><risdate>2003</risdate><volume>127</volume><issue>3</issue><spage>353</spage><epage>366</epage><pages>353-366</pages><issn>0178-8051</issn><eissn>1432-2064</eissn><coden>PTRFEU</coden><abstract>Motivated by asymptotic expansions in the central limit theorem, we find exact norms of a sequence of Stein-type operators. The proof is based on new stochastic comparisons in distribution between the difference of two independent transformed normal variables and the standard normal distribution.</abstract><cop>Heidelberg</cop><cop>Berlin</cop><cop>New York, NY</cop><pub>Springer</pub><doi>10.1007/s00440-003-0288-9</doi><tpages>14</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0178-8051 |
| ispartof | Probability theory and related fields, 2003-11, Vol.127 (3), p.353-366 |
| issn | 0178-8051 1432-2064 |
| language | eng |
| recordid | cdi_proquest_journals_2661265632 |
| source | SpringerNature Journals; EBSCOhost Business Source Complete |
| subjects | Asymptotic series Central limit theorem Digital Object Identifier Distribution theory Exact sciences and technology Independent variables Limit theorems Mathematical analysis Mathematics Normal distribution Norms Operator theory Polynomials Probability Probability and statistics Probability theory and stochastic processes Random variables Sciences and techniques of general use |
| title | Exact norms of a Stein-type operator and associated stochastic orderings |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-19T13%3A10%3A25IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Exact%20norms%20of%20a%20Stein-type%20operator%20and%20associated%20stochastic%20orderings&rft.jtitle=Probability%20theory%20and%20related%20fields&rft.au=LEFEVRE,%20Claude&rft.date=2003-11-01&rft.volume=127&rft.issue=3&rft.spage=353&rft.epage=366&rft.pages=353-366&rft.issn=0178-8051&rft.eissn=1432-2064&rft.coden=PTRFEU&rft_id=info:doi/10.1007/s00440-003-0288-9&rft_dat=%3Cproquest_cross%3E679609001%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=233261113&rft_id=info:pmid/&rfr_iscdi=true |