<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-06-29T08:15:38Z</responseDate><request verb="GetRecord" identifier="oai:docta.ucm.es:20.500.14352/57869" metadataPrefix="oai_dc">https://docta.ucm.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:docta.ucm.es:20.500.14352/57869</identifier><datestamp>2023-08-25T23:14:24Z</datestamp><setSpec>com_20.500.14352_14</setSpec><setSpec>col_20.500.14352_15</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
   <dc:title>Extension of the Wald statistic to models with dependent observations</dc:title>
   <dc:creator>Morales González, Domingo</dc:creator>
   <dc:creator>Pardo Llorente, Leandro</dc:creator>
   <dc:creator>Pardo Llorente, María del Carmen</dc:creator>
   <dc:creator>Vadja, Igor</dc:creator>
   <dc:subject>519.2</dc:subject>
   <dc:subject>composite parametric hypotheses</dc:subject>
   <dc:subject>generalized likelihood ratio statistic</dc:subject>
   <dc:subject>generalized Wald statistic</dc:subject>
   <dc:subject>convergent exponential models</dc:subject>
   <dc:subject>Levy processes</dc:subject>
   <dc:subject>diffusion fields</dc:subject>
   <dc:subject>stochastic-processes</dc:subject>
   <dc:subject>Procesos estocásticos</dc:subject>
   <dc:subject>1208.08 Procesos Estocásticos</dc:subject>
   <dc:description>A generalization of the Wald statistic for testing composite hypotheses is suggested for dependent data from exponential models which include Levy processes and diffusion fields. The generalized statistic is proved to be asymptotically chi-squared distributed under regular composite hypotheses. It is simpler and more easily available than the generalized likelihood ratio statistic. Simulations in an example where the latter statistic is available show that the generalized Wald test achieves higher average power than the generalized likelihood ratio test.</dc:description>
   <dc:description>DGES</dc:description>
   <dc:description>Depto. de Estadística e Investigación Operativa</dc:description>
   <dc:description>Fac. de Ciencias Matemáticas</dc:description>
   <dc:description>TRUE</dc:description>
   <dc:description>pub</dc:description>
   <dc:date>2023-06-20T17:09:44Z</dc:date>
   <dc:date>2023-06-20T17:09:44Z</dc:date>
   <dc:date>2000-12</dc:date>
   <dc:type>journal article</dc:type>
   <dc:identifier>https://hdl.handle.net/20.500.14352/57869</dc:identifier>
   <dc:identifier>0026-1335</dc:identifier>
   <dc:identifier>10.1007/s001840000060</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:relation>PB-96 0635</dc:relation>
   <dc:relation>GV99/159/1/01</dc:relation>
   <dc:relation>GACR 102/99/1137</dc:relation>
   <dc:rights>restricted access</dc:rights>
   <dc:format>application/pdf</dc:format>
   <dc:publisher>Springer Heidelberg</dc:publisher>
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