Exponential bounds for the uniform deviation of a kind of empirical processes. II

DOI10.1006/JMVA.1993.1082zbMath0790.62046OpenAlexW2006639861MaRDI QIDQ1321984

Ping Cheng, Jian Zhang, Li Xing Zhu

Publication date: 28 June 1994

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmva.1993.1082

zbMATH Keywords

elliptically contoured distributionexponential boundsempirical processLebesgue measurebounded supportprojection pursuit Kolmogorov-Smirnov statisticuniformly bounded marginal density

Mathematics Subject Classification ID

Multivariate analysis (62H99) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Large deviations (60F10)

Related Items (3)

The laws of the iterated logarithm for two kinds of PP statistics ⋮ Tests of elliptical symmetry and the asymptotic tail behavior of the statistics ⋮ On some tests-based projection pursuit for elliptical symmetry of a high-dimensional distribution

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