Efficient nonparametric testing by functional estimation

DOI10.1007/BF01046998zbMath0709.62045MaRDI QIDQ921777

Larry Goldstein, Ian S. Abramson

Publication date: 1991

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

partitioninvariance propertiesgaugefunctional estimationconsistency rate improvementdependency problemdual smoothing problemequidistribution problem

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20)

Related Items

Splitting criteria for regression trees, Rootnconsistent density estimators for sums of independent random variables, Functional convergence and optimality of plug-in estimators for stationary densities of moving average processes

Cites Work

• Central limit theorem for integrated square error of multivariate nonparametric density estimators
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• Multivariate generalizations of the Wald-Wolfowitz and Smirnov two-sample tests
• On nonparametric measures of dependence for random variables
• Multivariate Two-Sample Tests Based on Nearest Neighbors
• Martingale Central Limit Theorems