ExtremesPub Date : 2021-07-20DOI: 10.1007/s10687-022-00461-7
M. Kratz, E. Prokopenko
{"title":"Multi-normex distributions for the sum of random vectors. Rates of convergence","authors":"M. Kratz, E. Prokopenko","doi":"10.1007/s10687-022-00461-7","DOIUrl":"https://doi.org/10.1007/s10687-022-00461-7","url":null,"abstract":"","PeriodicalId":49274,"journal":{"name":"Extremes","volume":"1 1","pages":"1-36"},"PeriodicalIF":1.3,"publicationDate":"2021-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42966266","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
ExtremesPub Date : 2021-06-05DOI: 10.1007/s10687-021-00417-3
Philippe Soulier
{"title":"The tail process and tail measure of continuous time regularly varying stochastic processes","authors":"Philippe Soulier","doi":"10.1007/s10687-021-00417-3","DOIUrl":"https://doi.org/10.1007/s10687-021-00417-3","url":null,"abstract":"<p>The goal of this paper is to investigate the tools of extreme value theory originally introduced for discrete time stationary stochastic processes (time series), namely the tail process and the tail measure, in the framework of continuous time stochastic processes with paths in the space <span>(mathcal {D})</span> of càdlàg functions indexed by <span>(mathbb {R})</span>, endowed with Skorohod’s <i>J</i><sub>1</sub> topology. We prove that the essential properties of these objects are preserved, with some minor (though interesting) differences arising. We first obtain structural results which provide representation for homogeneous shift-invariant measures on <span>(mathcal {D})</span> and then study regular variation of random elements in <span>(mathcal {D})</span>. We give practical conditions and study several examples, recovering and extending known results.</p>","PeriodicalId":49274,"journal":{"name":"Extremes","volume":"39 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2021-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138537970","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
ExtremesPub Date : 2021-06-01DOI: 10.1007/s10687-021-00422-6
Zhendong Huang, O. Shulyarenko, Davide Ferrari
{"title":"Truncated pair-wise likelihood for the Brown-Resnick process with applications to maximum temperature data","authors":"Zhendong Huang, O. Shulyarenko, Davide Ferrari","doi":"10.1007/s10687-021-00422-6","DOIUrl":"https://doi.org/10.1007/s10687-021-00422-6","url":null,"abstract":"","PeriodicalId":49274,"journal":{"name":"Extremes","volume":"24 1","pages":"379 - 402"},"PeriodicalIF":1.3,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10687-021-00422-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45707910","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
ExtremesPub Date : 2021-05-11DOI: 10.1007/s10687-021-00434-2
Zhongwei Zhang, Raphael Huser, T. Opitz, J. Wadsworth
{"title":"Modeling spatial extremes using normal mean-variance mixtures","authors":"Zhongwei Zhang, Raphael Huser, T. Opitz, J. Wadsworth","doi":"10.1007/s10687-021-00434-2","DOIUrl":"https://doi.org/10.1007/s10687-021-00434-2","url":null,"abstract":"","PeriodicalId":49274,"journal":{"name":"Extremes","volume":"25 1","pages":"175 - 197"},"PeriodicalIF":1.3,"publicationDate":"2021-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48692836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
ExtremesPub Date : 2021-05-07DOI: 10.1007/s10687-021-00415-5
Mads Stehr, Anders Rønn-Nielsen
{"title":"Extreme value theory for spatial random fields – with application to a Lévy-driven field","authors":"Mads Stehr, Anders Rønn-Nielsen","doi":"10.1007/s10687-021-00415-5","DOIUrl":"https://doi.org/10.1007/s10687-021-00415-5","url":null,"abstract":"","PeriodicalId":49274,"journal":{"name":"Extremes","volume":"24 1","pages":"753 - 795"},"PeriodicalIF":1.3,"publicationDate":"2021-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10687-021-00415-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41444506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
ExtremesPub Date : 2021-05-05DOI: 10.1007/s10687-021-00416-4
Michael Falk, T. Fuller
{"title":"New characterizations of multivariate Max-domain of attraction and D-Norms","authors":"Michael Falk, T. Fuller","doi":"10.1007/s10687-021-00416-4","DOIUrl":"https://doi.org/10.1007/s10687-021-00416-4","url":null,"abstract":"","PeriodicalId":49274,"journal":{"name":"Extremes","volume":"24 1","pages":"849 - 879"},"PeriodicalIF":1.3,"publicationDate":"2021-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s10687-021-00416-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41776957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
ExtremesPub Date : 2021-04-09DOI: 10.1007/S10687-021-00414-6
Daniel Cooley, P. Naveau
{"title":"Editorial to the special issue: Statistical modeling of environmental extremes","authors":"Daniel Cooley, P. Naveau","doi":"10.1007/S10687-021-00414-6","DOIUrl":"https://doi.org/10.1007/S10687-021-00414-6","url":null,"abstract":"","PeriodicalId":49274,"journal":{"name":"Extremes","volume":"24 1","pages":"197 - 198"},"PeriodicalIF":1.3,"publicationDate":"2021-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S10687-021-00414-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43938869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
ExtremesPub Date : 2021-04-08DOI: 10.1007/s10687-022-00447-5
Hrvoje Planini'c
{"title":"Palm theory for extremes of stationary regularly varying time series and random fields","authors":"Hrvoje Planini'c","doi":"10.1007/s10687-022-00447-5","DOIUrl":"https://doi.org/10.1007/s10687-022-00447-5","url":null,"abstract":"","PeriodicalId":49274,"journal":{"name":"Extremes","volume":"26 1","pages":"45-82"},"PeriodicalIF":1.3,"publicationDate":"2021-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49566226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}