Strong large deviations for arbitrary sequences of random variables

DOI10.1007/s10463-012-0361-1zbMath1441.60024OpenAlexW1965067345MaRDI QIDQ1934481

Cyrille Joutard

Publication date: 28 January 2013

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-012-0361-1

zbMATH Keywords

sample variancelarge deviationsBahadur-Rao theoremKendall tau statisticWilcoxon signed-rank statistic

Mathematics Subject Classification ID

Density estimation (62G07) Nonparametric hypothesis testing (62G10) Large deviations (60F10)

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Cites Work

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• Strong large deviation and local limit theorems
• Multidimensional strong large deviation theorems
• Large deviation local limit theorems for arbitrary sequences of random variables
• The Probability in the Extreme Tail of a Convolution
• On Deviations of the Sample Mean
• Large deviation properties for empirical quantile-type production functions
• Sharp large deviations in nonparametric estimation
• Large Deviations Limit Theorems for the Kernel Density Estimator
• Asymptotic expansions and large deviations in estimation of an Ornstein-Uhlenbeck model
• Sharp Large Deviations for the Ornstein--Uhlenbeck Process
• Sharp large deviations for Gaussian quadratic forms with applications
• Alternative Efficiencies for Signed Rank Tests
• On the Probability of Large Deviations and Exact Slopes
• Large Deviation Probabilities for Weighted Sums
• The bootstrap and Edgeworth expansion