LIMIT THEOREMS FOR PROPORTIONS OF OBSERVATIONS FALLING INTO RANDOM REGIONS DETERMINED BY ORDER STATISTICS

DOI10.1111/j.1467-842X.2012.00667.xzbMath1334.62092MaRDI QIDQ2802791

Anna Dembińska

Publication date: 27 April 2016

Published in: Australian & New Zealand Journal of Statistics (Search for Journal in Brave)

zbMATH Keywords

order statisticslimit theoremsdiscrete distributionsnear order statistic observationsrandomly indexed samples

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Extreme value theory; extremal stochastic processes (60G70)

Related Items (12)

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 ⋮ Maximum likelihood estimators based on discrete component lifetimes of a \(k\)-out-of-\(n\) system ⋮ A strong ergodic theorem for extreme and intermediate 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 ⋮ 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 ⋮ The long-term behavior of number of near-maximum insurance claims ⋮ IPO estimation of heaviness of the distribution beyond regularly varying tails ⋮ Characterizations based on the numbers of near-order statistics

Cites Work

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