Asymptotic properties of linear functions of order statistics

DOI10.1016/0378-3758(88)90006-7zbMath0652.62015OpenAlexW1973872467MaRDI QIDQ1107232

Cheun-Der Lea, Madan Lal Puri

Publication date: 1988

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(88)90006-7

zbMATH Keywords

asymptotic normalityinvariance principlesmooth functionsalmost sure approximationlinear functions of order statisticsarithmetical meanalmost sure representationiterated logarithm theoremWiener process embedding

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30) Functional limit theorems; invariance principles (60F17)

Related Items (2)

Almost sure representations of weightedU-statistics with applications ⋮ Asymptotic behaviour of linear combinations of functions of order statistics

Cites Work

• Asymptotic properties of perturbed empirical distribution functions evaluated at a random point
• On functions of order statistics for mixing processes
• The behavior of robust estimators on dependent data
• A law of the iterated logarithm for functions of order statistics
• An approximation of partial sums of independent RV's, and the sample DF. II
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• The approximation of partial sums of independent RV's
• Asymptotic Distribution of Linear Combinations of Functions of Order Statistics with Applications to Estimation
• An Elementary Proof of Asymptotic Normality of Linear Functions of Order Statistics
• An Estimate Concerning the Kolmogroff Limit Distribution
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