Asymptotic behaviour of linear combinations of functions of order statistics

DOI10.1016/0378-3758(91)90069-QzbMath0732.62046OpenAlexW2044434906MaRDI QIDQ808579

Ričardas Zitikis, Rimas Norvaiša

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0378-3758(91)90069-q

zbMATH Keywords

law of the iterated logarithmSufficient conditionsL-statisticBanach space valued random variableslinear combinations of functions of order statistics

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

Asymptotic expansions in the integral and local limit theorems in Banach spaces with applications to \(\omega\)-statistics

Cites Work

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• On the distributions of \(L_ p\) norms of weighted uniform empirical and quantile processes
• Asymptotic properties of linear functions of order statistics
• Some results on the LIL in Banach space with applications to weighted empirical processes
• Cramer type large deviations for linear combinations of order statistics
• Linear functions of order statistics with smooth weight functions
• On the limit theorems for random variables with values in the spaces L p (2?p<?)
• [https://portal.mardi4nfdi.de/wiki/Publication:4181018 Relation entre th�or�me central-limite et loi du logarithme it�r� dans les espaces de Banach]
• Asymptotic Distribution of Linear Combinations of Functions of Order Statistics with Applications to Estimation
• The Law of the Iterated Logarithm for Empirical Distribution
• Functions of Order Statistics

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