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Kuersteiner, G.M.
Invariance principles for dependent processes indexed by Besov classes with an application to a Hausman test for linearity
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This paper considers functional central limit theorems for stationary absolutely regular mixing processes. Bounds for the entropy with bracketing are derived using recent results in Nickl and Pötscher (2007). More specifically, their bracketing metric entropy bounds are extended to a norm defined in Doukhan, Massart and Rio (1995, henceforth DMR) that depends both on the marginal distribution of the process and on the mixing coefficients. Using these bounds, and based on a result in DMR, it is shown that for the class of weighted Besov spaces polynomially decaying tail behavior of the function class is sufficient to obtain a functional central limit theorem under minimal dependence conditions. A second class of functions that allow for a functional central limit theorem under minimal conditions are smooth functions defined on bounded sets. Similarly, a functional CLT for polynomially explosive tail behavior is obtained under additional moment conditions that are easy to check. An application to a Hausman (1978) specification test for linearity of the conditional mean illustrates the theory. © 2018
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<div class="JournalArticle Publication short-list"> <div class="authors"> <span class="author-name" > Kuersteiner, G.M. </span> <span class="author-type"> </span> </div ><div class="title"><a href="/gui2/?mode=browse¶ms=publication;30379896" mtid="30379896" target="_blank">Invariance principles for dependent processes indexed by Besov classes with an application to a Hausman test for linearity</a></div> <div class="pub-info"> <span class="journal-title">JOURNAL OF ECONOMETRICS</span> <span class="journal-volume">211</span> : <span class="journal-issue">1</span> <span class="page"> pp. 243-261. , 19 p. </span> <span class="year">(2019)</span> </div> <div class="pub-end"><div class="identifier-list"> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.1016/j.jeconom.2018.12.015" target="_blank" href="https://doi.org/10.1016%2Fj.jeconom.2018.12.015"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="000472246100015" target="_blank" href="http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=CustomerName&SrcApp=CustomerName&DestLinkType=FullRecord&KeyUT=000472246100015&DestApp=WOS"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="85058563505" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85058563505"> Scopus </a> </span> </span> </div> <span class="short-pub-prop-list"> <span class="short-pub-mtid"> Közlemény:30379896 </span> <span class="status-holder"><span class="status-data status-VALIDATED"> Egyeztetett </span></span> <span class="pub-core"> Idéző </span> <span class="pub-type">Folyóiratcikk (Szakcikk ) </span> <!-- && !record.category.scientific --> <span class="pub-category">Tudományos</span> </span> </div> </div><div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" >Kuersteiner G.M. </span> </div> </div> <div class="title"><a href="/gui2/?mode=browse¶ms=publication;30379896" target="_blank">Invariance principles for dependent processes indexed by Besov classes with an application to a Hausman test for linearity</a></div> <div> <span class="journal-title">JOURNAL OF ECONOMETRICS</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0304-4076">0304-4076</a> )</span>: <span class="journal-volume">211</span> <span class="journal-issue">1</span> <span class="page"> pp 243-261 </span> <span class="year">(2019)</span> <br> </span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.1016/j.jeconom.2018.12.015" target="_blank" href="https://doi.org/10.1016%2Fj.jeconom.2018.12.015"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="000472246100015" target="_blank" href="http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=CustomerName&SrcApp=CustomerName&DestLinkType=FullRecord&KeyUT=000472246100015&DestApp=WOS"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="85058563505" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85058563505"> Scopus </a> </span> </span> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;30379896&sort=publishedYear,desc&sort=title"> Idézett közlemények száma: 1 </a> </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 30379896</span> | <span class="status-data status-VALIDATED"> Egyeztetett </span> Idéző | <span class="type-subtype">Folyóiratcikk ( Szakcikk ) </span> | Tudományos </span> | <span class="publication-sourceOfData">Scopus (scopus(11).ris, 2019-01-08)</span> </div> <div class="lastModified">Utolsó módosítás: 2019.12.03. 22:35 WoS import (admin) </div> </div></div>