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Multivariate extensions of the Anderson--Darling process.

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Publication:1423166
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DOI10.1016/S0167-7152(03)00111-1zbMath1116.60329MaRDI QIDQ1423166

Jean-Renaud Pycke

Publication date: 14 February 2004

Published in: Statistics \& Probability Letters (Search for Journal in Brave)


zbMATH Keywords

expansionLegendre functionsAnderson-Darling statisticKarhunen-LoéveIndependence test


Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Gaussian processes (60G15)


Related Items

U-statistics based on the Green's function of the Laplacian on the circle and the sphere ⋮ Multivariate flexible Pareto model: dependency structure, properties and characterizations ⋮ Estimation of the Sobol indices in a linear functional multidimensional model ⋮ \( L_2\)-small ball asymptotics for Gaussian random functions: a survey ⋮ Karhunen-Loève expansion for a generalization of Wiener bridge



Cites Work

  • An asymptotic decomposition for multivariate distribution-free tests of independence
  • A new approach to goodness-of-fit testing based on the integrated empirical process*
  • Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes
  • A Test of Goodness of Fit
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