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• W2039352122 abstract "An asymptotic model for the extreme behavior of certain Markov chains is the ‘tail chain’. Generally taking the form of a multiplicative random walk, it is useful in deriving extremal characteristics, such as point process limits. We place this model in a more general context, formulated in terms of extreme value theory for transition kernels, and extend it by formalizing the distinction between extreme and nonextreme states. We make the link between the update function and transition kernel forms considered in previous work, and we show that the tail chain model leads to a multivariate regular variation property of the finite-dimensional distributions under assumptions on the marginal tails alone." @default.
• W2039352122 created "2016-06-24" @default.
• W2039352122 creator A5003294202 @default.
• W2039352122 creator A5067544139 @default.
• W2039352122 date "2013-03-01" @default.
• W2039352122 modified "2023-10-18" @default.
• W2039352122 title "Asymptotics of Markov Kernels and the Tail Chain" @default.
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• W2039352122 doi "https://doi.org/10.1239/aap/1363354108" @default.
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