An infinite-dimensional approximation for nearest neighbor goodness of fit tests

DOI10.1214/aos/1176346052zbMath0532.62076OpenAlexW1983337320MaRDI QIDQ789131

Mark F. Schilling

Publication date: 1983

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176346052

zbMATH Keywords

Fredholm equationinfinite-dimensional approximationnearest neighbor goodness of fit testsquadratic functionals of weighted empirical distribution functions

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15) Inference from stochastic processes (62M99)

Related Items (3)

Computing the asymptotic distribution of second-order \(U\)- and \(V\)-statistics ⋮ Limit distributions of extremal distances to the nearest neighbor ⋮ On some significance tests in cluster analysis

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