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• W2082477964 abstract "The almost sure convergence of the maximum of a strictly stationary sequence is studied. We show that, if a particular mixing condition, related to the asymptotic independence of maxima defined by O'Brien, is satisfied, then the maximum behaves asymptotically like the quantile F ← (1-1/ n ) whenever the marginal tail distribution decreases quickly enough. A necessary condition for the almost sure convergence of the maximum is derived. Applications are also discussed." @default.
• W2082477964 created "2016-06-24" @default.
• W2082477964 creator A5070528023 @default.
• W2082477964 date "2003-09-01" @default.
• W2082477964 modified "2023-10-18" @default.
• W2082477964 title "Almost sure relative stability of the maximum of a stationary sequence" @default.
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• W2082477964 doi "https://doi.org/10.1239/aap/1059486825" @default.
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