Asymptotic properties of numbers of observations in random regions determined by central order statistics

DOI10.1016/j.jspi.2011.08.009zbMath1231.62088OpenAlexW2052751426MaRDI QIDQ645622

Anna Dembińska

Publication date: 10 November 2011

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.2011.08.009

zbMATH Keywords

limit theoremsnear order statistic observations

Mathematics Subject Classification ID

Multivariate analysis (62H99) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30)

Related Items

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 ⋮ Characterization and goodness-of-fit test of Pareto and some related distributions based on near-order statistics ⋮ On numbers of observations in random regions determined by records ⋮ Asymptotic behaviour of near-maxima of Gaussian sequences ⋮ 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 ⋮ The long-term behavior of number of near-maximum insurance claims ⋮ 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 ⋮ Characterizations based on the numbers of near-order statistics

Cites Work

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