Asymptotic properties of numbers of observations near sample quantiles

DOI10.1080/02331888.2010.498045zbMath1241.62079OpenAlexW2080378410MaRDI QIDQ2892884

Anna Dembińska, George Iliopoulos, Narayanaswamy Balakrishnan

Publication date: 25 June 2012

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2010.498045

zbMATH Keywords

order statisticslimit theorems

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items (10)

Asymptotic behaviour of proportions of observations in random regions determined by central order statistics from stationary processes ⋮ 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 ⋮ An ergodic theorem for proportions of observations that fall into random sets determined by sample quantiles ⋮ Asymptotic normality of numbers of observations in random regions determined by order statistics ⋮ On characterization results based on the number of observations near thek-records ⋮ LIMIT THEOREMS FOR PROPORTIONS OF OBSERVATIONS FALLING INTO RANDOM REGIONS DETERMINED BY ORDER STATISTICS

Cites Work

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• The asymptotic distribution of numbers of observations near order statistics
• 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
• On the number and sum of near-record observations

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