Precise asymptotics on second-order complete moment convergence of uniform empirical process

DOI10.1155/2014/143581zbMath1470.60102OpenAlexW2024353110WikidataQ59035476 ScholiaQ59035476MaRDI QIDQ1722176

Lin He, Junshan Xie

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/143581

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Strong limit theorems (60F15)

Cites Work

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• A general law of moment convergence rates for uniform empirical process
• Precise asymptotics in the law of the iterated logarithm and the complete convergence for uniform empirical process
• Second moment convergence rates for uniform empirical processes
• Precise asymptotics -- a general approach
• Precise asymptotics for a new kind of complete moment convergence
• On the Deviations of the Empiric Distribution Function of Vector Chance Variables
• A supplement to the strong law of large numbers
• Convergence Rates in the Law of Large Numbers
• Complete Convergence and the Law of Large Numbers

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