On the strong law of large numbers for linear combinations of concomitants

DOI10.1134/S1063454120030061zbMath1460.62062MaRDI QIDQ2227899

O. I. Dudkina, N. V. Gribkova

Publication date: 16 February 2021

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

strong law of large numberslinear combinationsconcomitantsinduced order statistics

Mathematics Subject Classification ID

Random fields (60G60) Asymptotic distribution theory in statistics (62E20) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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Cites Work

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• Functional limit theorems for induced order statistics
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• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Concomitants of Multivariate Order Statistics With Application to Judgment Poststratification
• Some Theorems on Induced Order Statistics
• Linear Functions of Concomitants of Order Statistics with Application to Nonparametric Estimation of a Regression Function
• The asymptotic theory of concomitants of order statistics
• Concomitants and correlation estimates

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