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Asymptotic normality of trimmed sums of \(\Phi\)-mixing random variables

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Publication:1099873
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DOI10.1214/aop/1176991984zbMath0639.60028OpenAlexW2035322190MaRDI QIDQ1099873

Marjorie G. Hahn, Jorge D. Samur, James Kuelbs

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1214/aop/1176991984


zbMATH Keywords

asymptotic normalitycentral limit theorem\(\Phi \)-mixingstrictly stationary sequence of Hilbert-space-valued random variables


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)


Related Items (6)

Limit theorems for sums of partial quotients of continued fractions ⋮ Universal asymptotic normality for conditionally trimmed sums ⋮ On the Product of Random Variables and Moments of Sums Under Dependence ⋮ A weak law of large numbers for maxima ⋮ TAIL AND NONTAIL MEMORY WITH APPLICATIONS TO EXTREME VALUE AND ROBUST STATISTICS ⋮ On Ibragimov-Iosifescu conjecture for \(\phi\)-mixing sequences




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