On the asymptotic normality of theL2-Distance Class of Statistics with Estimated Parameters

DOI10.1080/10485259708832720zbMath0929.62055OpenAlexW1971163717MaRDI QIDQ4372863

Kanta Naito

Publication date: 31 January 2000

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485259708832720

zbMATH Keywords

consistencyasymptotic normalitygoodness-of-fitweighted empirical distributionV-statisticL2-distance

Mathematics Subject Classification ID

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

Related Items (3)

The limit distribution of weighted \(L^2\)-goodness-of-fit statistics under fixed alternatives, with applications ⋮ Tests of fit for normal inverse Gaussian distributions ⋮ Asymptotic normality of a consistent estimator of maximum mean discrepancy in Hilbert space

Cites Work

• On the asymptotic normality of statistics with estimated parameters
• On the effect of substituting parameter estimators in limiting \(\chi ^ 2U\) and V statistics
• Modification of some goodness-of-fit statistics to yield asymptotically normal null distributions
• Testing the Hypothesis That Two Populations Differ Only in Location
• Approximation Theorems of Mathematical Statistics
• A test for normality based on the empirical characteristic function

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