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• W2972163048 abstract "In this work we deal with extreme value theory in the context of continued fractions using techniques from probability theory, ergodic theory and real analysis. We give an upper bound for the rate of convergence in the Doeblin–Iosifescu asymptotics for the exceedances of digits obtained from the regular continued fraction expansion of a number chosen randomly from $(0,1)$ according to the Gauss measure. As a consequence, we significantly improve the best known upper bound on the rate of convergence of the maxima in this case. We observe that the asymptotics of order statistics and the extremal point process can also be investigated using our methods." @default.
• W2972163048 created "2019-09-12" @default.
• W2972163048 creator A5034122041 @default.
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• W2972163048 date "2019-09-06" @default.
• W2972163048 modified "2023-10-16" @default.
• W2972163048 title "Continued fractions, the Chen–Stein method and extreme value theory" @default.
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• W2972163048 doi "https://doi.org/10.1017/etds.2019.64" @default.
• W2972163048 hasPublicationYear "2019" @default.
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