On the relative stability of large order statistics

DOI10.1017/S0305004100056322zbMath0421.62031OpenAlexW1981679624MaRDI QIDQ3854459

Hall, Peter

Publication date: 1979

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100056322

zbMATH Keywords

necessary and sufficient conditionslaw of iterated logarithmrelative stabilityrate of increase

Mathematics Subject Classification ID

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

Related Items (9)

On the estimation of the Weibull tail coefficient ⋮ On stability of intermediate order statistics ⋮ Stability theorems for maxima of dependent sequences ⋮ The outlier behaviour of probability distributions ⋮ Stability theorems for large order statistics with varying ranks ⋮ Stability of maxima of random variables with multidimensional indices ⋮ Information-Based Optimal Subdata Selection for Big Data Linear Regression ⋮ Small-time almost-sure behaviour of extremal processes ⋮ Divide-and-conquer information-based optimal subdata selection algorithm

Cites Work

• Unnamed Item
• On the functional form of the law of the iterated logarithm for the partial maxima of independent identically distributed random variables
• Sur la distribution limite du terme maximum d'une série aléatoire
• A Note on a Paper of Barnes and Tucker
• A log log-law for double sequences of random variables I
• The Rate of Growth of Sample Maxima
• Almost sure stability of maxima
• On the Limit Behaviour of Extreme Order Statistics

This page was built for publication: On the relative stability of large order statistics