Stability theorems for large order statistics with varying ranks

DOI10.1016/0167-7152(92)90069-HzbMath0761.62062OpenAlexW2053045200MaRDI QIDQ1195561

Hong Wang, R.James Tomkins

Publication date: 14 December 1992

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(92)90069-h

zbMATH Keywords

relative stabilityalmost sure stabilitystability theoremslarge order statisticsvarying ranks

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30)

Related Items (1)

On stability of intermediate order statistics

Cites Work

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• Strong laws for the k-th order statistic when k\(\leq c\,\log _ 2\,n\)
• Sur la distribution limite du terme maximum d'une série aléatoire
• On the relative stability of large order statistics
• Stability theorems for maxima of dependent sequences
• A Note on a Paper of Barnes and Tucker
• On the Rate of Growth of the Partial Maxima of a Sequence of Independent Identically Distributed Random Variables.
• Almost sure stability of maxima
• On the Limit Behaviour of Extreme Order Statistics

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