Rate of convergence to the normal law of sums of induced order statistics

DOI10.1007/BF01084792zbMath0549.62019OpenAlexW1998594598WikidataQ114852707 ScholiaQ114852707MaRDI QIDQ800060

V. A. Egorov, Valeriĭ Borisovich Nevzorov

Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01084792

zbMATH Keywords

rate of convergenceasymptotic normalitymultidimensional casesums of induced order statistics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items (4)

On the use of the Borel-Cantelli lemma in Markov chains ⋮ On the strong law of large numbers for linear combinations of concomitants ⋮ Asymptotics of an empirical bridge of regression on induced order statistics ⋮ Limit results for concomitants of order statistics

Cites Work

• Convergence of sample paths of normalized sums of induced order statistics
• On the Rate of Convergence of Linear Combinations of Absolute Order Statistics to the Normal Law
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