de Carvalho, MiguelRamos, Alexandra2012-08-102012-08-102012-08-102012https://infoscience.epfl.ch/handle/20.500.14299/84485WOS:000306193300004We review the current state of statistical modeling of asymptotically independent data. Our discussion includes necessary and sufficient conditions for asymptotic independence, results on the asymptotic independence of statistics of interest, estimation and inference issues, joint tail modeling, and conditional approaches. For each of these topics we give an account of existing approaches and relevant methods for data analysis and applications.asymptotic independencecoefficient of tail dependenceconditional tail modelingextremal dependencehidden regular variationjoint tail modelingorder statisticsmaximummultivariate extremessumsAsymptotic IndependenceOrder-StatisticsRandom-VariablesStationary-SequencesValue DistributionsGaussian-ProcessesValue DependenceTail DependencePoint ProcessMaximumtext::journal::journal article::research article