On Asymptotic Minimaxity of Kernel-based Tests

DOI10.1051/ps:2003013zbMath1013.62050OpenAlexW1971523381MaRDI QIDQ4405595

Mikhail Sergeevich Ermakov

Publication date: 23 June 2003

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PS_2003__7__279_0

zbMATH Keywords

kernel estimatorsefficiencygoodness-of-fit testsasymptotic minimaxitykernel-based tests

Mathematics Subject Classification ID

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

Related Items (4)

Minimax goodness-of-fit testing in multivariate nonparametric regression ⋮ Nonparametric signal detection with small type I and type II error probabilities ⋮ On uniform consistency of nonparametric tests. I ⋮ Nonparametric hypothesis testing for intensity of the Poisson process

Cites Work

• Central limit theorem for integrated square error of multivariate nonparametric density estimators
• Integrated square error properties of kernel estimators of regression functions
• The power and optimal kernel of the Bickel-Rosenblatt test for goodness of fit
• On asymptotic minimaxity of rank tests
• Minimax detection of a signal for Besov bodies and balls.
• Minimax nonparametric hypothesis testing: The case of an inhomogeneous alternative
• Asymptotic equivalence of nonparametric regression and white noise
• Asymptotic equivalence of density estimation and Gaussian white noise
• Adaptive hypothesis testing using wavelets
• Nonparametric model checks for regression
• Nonparametric smoothing and lack-of-fit tests
• On distinguishability of two nonparametric sets of hypothesis
• Nonparametric goodness-of-fit testing under Gaussian models
• On some global measures of the deviations of density function estimates
• Асимптотическая минимаксность критериев хи-квадрат
• On the Minimax Detection of an Inaccurately Known Signal in a White Gaussian Noise Background
• On a Global Measure of Deviation for an Estimate of the Regression Line
• An Adaptive, Rate-Optimal Test of a Parametric Mean-Regression Model Against a Nonparametric Alternative
• Minimax Detection of a Signal In a Gaussian White Noise
• OPTIMAL MINIMAX RATES FOR NONPARAMETRIC SPECIFICATION TESTING IN REGRESSION MODELS
• Martingale Central Limit Theorems
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