Asymptotic behavior of some bilinear functionals of the empirical process

zbMath0798.62064MaRDI QIDQ1332123

Wilbert C. M. Kallenberg, Tadeusz Inglot, Teresa Ledwina

Publication date: 8 November 1994

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

zbMATH Keywords

weighted empirical processempirical processgoodness-of-fitdensity estimationmoderate deviations\(V\)-statisticstests of uniformitysymmetric bilinear functionalbilinear statisticsindependent \(U(0,1)\) random variablesquadratic testsstrong approximation techniquestest on circleweighted Lipschitz condition

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Large deviations (60F10)

Related Items (4)

Nonparametric tests for stochastic ordering ⋮ Intermediate efficiency by shifting alternatives and evaluation of power ⋮ Large deviations of degenerate Mises functionals. ⋮ Vanishing shortcoming and asymptotic relative efficiency.

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