Asymptotic properties of the ratio of order statistics

DOI10.1016/J.SPL.2007.08.001zbMath1133.60310OpenAlexW2001165174MaRDI QIDQ2474521

Alexei Stepanov, Narayanaswamy Balakrishnan

Publication date: 6 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.spl.2007.08.001

zbMATH Keywords

order statisticslimit lawstheory of regular variationratio of order statistics

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Extreme value theory; extremal stochastic processes (60G70) Strong limit theorems (60F15)

Related Items (7)

Asymptotic properties of the spacings of kth records from discrete distributions ⋮ Asymptotic behavior of the ratio of weak kth records ⋮ On asymptotic properties of spacings ⋮ Complete convergence for arrays of ratios of order statistics ⋮ Runs in an ordered sequence of random variables ⋮ Runs Based on the Ratios of Consecutive Order Statistics ⋮ Limiting behavior of the ratio of \(k\)th records

Cites Work

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• Limit theorems for the ratio of weak records
• How Many Observations Fall in a Neighborhood of an Order Statistic?
• Order Statistics
• On record values and record times
• On the number and sum of near-record observations

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