On one Homogeneity Test Based on Quadratic Deviations between Kernel Estimators of a Distribution Density in $p\geq 2$ Independent Samples

DOI10.1137/S0040585X97T989234zbMath1411.62113OpenAlexW2912146337MaRDI QIDQ4618072

Elizbar A. Nadaraya, Petre K. Babilua

Publication date: 7 February 2019

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t989234

zbMATH Keywords

limit theoremBrownian bridgestest powerhomogeneity hypothesiskernel estimator of density

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Functional limit theorems; invariance principles (60F17)

Cites Work

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• Limit theorems for stochastic measures of the accuracy of density estimators
• Two-sample test statistics for measuring discrepancies between two multivariate probability density functions using kernel-based density estimates
• On some global measures of the deviations of density function estimates
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• On Non-Parametric Estimates of Density Functions and Regression Curves

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