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Regular variation and the stability of maxima

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Publication:1076414
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DOI10.1214/AOP/1176992452zbMath0593.60042OpenAlexW2114359741MaRDI QIDQ1076414

R.James Tomkins

Publication date: 1986

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176992452


zbMATH Keywords

complete convergenceregular variationsample maximaalmost surely stable


Mathematics Subject Classification ID

Strong limit theorems (60F15) Monotonic functions, generalizations (26A48) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)


Related Items (8)

Rates of convergence for the stability of large order statistics ⋮ Stability theorems for maxima of dependent sequences ⋮ Slowdown estimates for one-dimensional random walks in random environment with holding times ⋮ Stability of maxima of random variables with multidimensional indices ⋮ Asymptotics of the norm of elliptical random vectors ⋮ Complete stability of large order statistics ⋮ Regular stability of large order statistics ⋮ Small-time almost-sure behaviour of extremal processes







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