The asymptotic distribution of numbers of observations near order statistics

DOI10.1016/J.JSPI.2007.10.023zbMath1176.60038OpenAlexW2013059252MaRDI QIDQ1031765

Anna Dembińska, Narayanaswamy Balakrishnan

Publication date: 30 October 2009

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2007.10.023

zbMATH Keywords

order statisticsasymptotic independencelimit theoremsnear order statistic observations

Mathematics Subject Classification ID

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

Related Items (11)

Asymptotic properties of numbers of observations near sample quantiles ⋮ 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 ⋮ On the asymptotic independence of numbers of observations near order statistics ⋮ Asymptotic normality of numbers of observations in random regions determined by order statistics ⋮ On numbers of observations near randomly indexed order statistics ⋮ Large deviations for proportions of observations which fall in random sets determined by order statistics ⋮ LIMIT THEOREMS FOR PROPORTIONS OF OBSERVATIONS FALLING INTO RANDOM REGIONS DETERMINED BY ORDER STATISTICS

Cites Work

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• A note on the number of records near the maximum
• Limit laws for the number of near maxima via the Poisson approximation
• Limit theorems for the number and sum of near-maxima for medium tails.
• 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

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