An extension of almost sure central limit theorem for order statistics

DOI10.1007/S10687-008-0075-1zbMath1224.60043OpenAlexW2036637797MaRDI QIDQ626289

Tong Bin, Peng Zuoxiang, Saralees Nadarajah

Publication date: 22 February 2011

Published in: Extremes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10687-008-0075-1

zbMATH Keywords

summation methodsextreme order statisticssecond maximum

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)

Related Items (7)

Limit theorems for linear processes generated by ρ-mixing sequence ⋮ Further research on limit theorems for self-normalized sums ⋮ Some asymptotic results on extremes of incomplete samples ⋮ On the almost sure central limit theorem for ARX processes in adaptive tracking ⋮ Almost sure central limit theorem of sample quantiles ⋮ An extension of almost sure central limit theorem for self-normalized products of sums for mixing sequences ⋮ On the almost sure central limit theorem for the elephant random walk

Cites Work

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• On almost sure max-limit theorems
• On the universal a.s. central limit theorem
• Extremes and related properties of random sequences and processes
• Almost sure versions of distributional limit theorems for certain order statistics.
• A universal result in almost sure central limit theory.
• An extension of almost sure central limit theory
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• Almost Sure Convergence in Extreme Value Theory

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