Edgeworth expansion of densities of order statistics with fixed rank

DOI10.1007/S10114-002-0200-ZzbMath1024.60025OpenAlexW2321811412MaRDI QIDQ1566037

Shi Hong Cheng

Publication date: 25 September 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-002-0200-z

zbMATH Keywords

von Mises conditionEdgeworth expansion for densitiesorder statistics with fixed rank

Mathematics Subject Classification ID

Random fields (60G60) Extreme value theory; extremal stochastic processes (60G70) Convergence of probability measures (60B10) Limit theorems in probability theory (60F99)

Related Items (1)

Higher-order expansions of powered extremes of normal samples

Cites Work

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• Rate of convergence of intermediate order statistics
• Second-order regular variation and rates of convergence in extreme-value theory
• The rate of convergence in law of the maximum of an exponential sample
• A convergence rate in extreme-value theory
• The rate of convergence in distribution of the maxima
• On the rate of convergence of normal extremes
• Functional central limit theorems for processes with positive drift and their inverses

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