On the asymptotic independence of numbers of observations near order statistics

DOI10.1080/02331880903194521zbMath1283.60079OpenAlexW1982149006MaRDI QIDQ5402486

Anna Dembińska, Narayanaswamy Balakrishnan

Publication date: 14 March 2014

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331880903194521

zbMATH Keywords

order statisticsasymptotic independencenear order statistic observationsweak limit theorems

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Extreme value theory; extremal stochastic processes (60G70)

Related Items (8)

Asymptotic normality of numbers of observations near order statistics from stationary processes ⋮ Asymptotic behavior of proportions of observations falling to random regions determined by central order statistics ⋮ On numbers of observations in random regions determined by records ⋮ On the asymptotics of numbers of observations in random regions determined by order statistics ⋮ Asymptotic properties of numbers of observations in random regions determined by central order statistics ⋮ Asymptotic normality of numbers of observations in random regions determined by order statistics ⋮ LIMIT THEOREMS FOR PROPORTIONS OF OBSERVATIONS FALLING INTO RANDOM REGIONS DETERMINED BY ORDER STATISTICS ⋮ Spacings around an order statistic

Cites Work

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• The asymptotic distribution of numbers of observations near order statistics
• Limit laws for the number of near maxima via the Poisson approximation
• A note on the number of observations near an order statistic
• The number and sum of near-maxima for thin-tailed populations
• How Many Observations Fall in a Neighborhood of an Order Statistic?
• ON THE NUMBER OF RECORDS NEAR THE MAXIMUM
• A First Course in Order Statistics

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