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<dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:invenio="http://invenio-software.org/elements/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:identifier>doi:10.1007/s10651-022-00539-2</dc:identifier><dc:language>eng</dc:language><dc:creator>Castillo Mateo, Jorge</dc:creator><dc:title>Distribution-free changepoint detection tests based on the breaking of records</dc:title><dc:identifier>ART-2022-130160</dc:identifier><dc:description>The analysis of record-breaking events is of interest in fields such as climatology, hydrology or anthropology. In connection with the record occurrence, we propose three distribution-free statistics for the changepoint detection problem. They are CUSUM-type statistics based on the upper and/or lower record indicators observed in a series. Using a version of the functional central limit theorem, we show that the CUSUM-type statistics are asymptotically Kolmogorov distributed. The main results under the null hypothesis are based on series of independent and identically distributed random variables, but a statistic to deal with series with seasonal component and serial correlation is also proposed. A Monte Carlo study of size, power and changepoint estimate has been performed. Finally, the methods are illustrated by analyzing the time series of temperatures at Madrid, Spain. The R package RecordTest publicly available on CRAN implements the proposed methods.</dc:description><dc:date>2022</dc:date><dc:source>http://zaguan.unizar.es/record/118975</dc:source><dc:doi>10.1007/s10651-022-00539-2</dc:doi><dc:identifier>http://zaguan.unizar.es/record/118975</dc:identifier><dc:identifier>oai:zaguan.unizar.es:118975</dc:identifier><dc:relation>info:eu-repo/grantAgreement/ES/DGA/E46-20R</dc:relation><dc:relation>info:eu-repo/grantAgreement/ES/MICINN/PID2020-116873GB-I00</dc:relation><dc:identifier.citation>ENVIRONMENTAL AND ECOLOGICAL STATISTICS 29, 3 (2022), 655–676</dc:identifier.citation><dc:rights>by</dc:rights><dc:rights>http://creativecommons.org/licenses/by/3.0/es/</dc:rights><dc:rights>info:eu-repo/semantics/openAccess</dc:rights></dc:dc>

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