Study of some new integrated statistics: Computation of Bahadur efficiency, relation with non-standard boundary value problems

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Inference from stochastic processes (62M99)

Related Items (10)

Exact \(L_2\)-small ball behavior of integrated Gaussian processes and spectral asymptotics of boundary value problems ⋮ U-statistics based on the Green's function of the Laplacian on the circle and the sphere ⋮ Local efficiency of integrated goodness-of-fit tests under skew alternatives ⋮ Probability and statistics. Part 6. Transl. from the Russian ⋮ Asymptotic behavior of weighted multivariate Cramér-von Mises-type statistics under contiguous alternatives ⋮ \(K\)-sample problem using strong approximations of empirical copula processes ⋮ A class of bridges of iterated integrals of Brownian motion related to various boundary value problems involving the one-dimensional polyharmonic operator ⋮ Some applications of the strong approximation of the integrated empirical copula processes ⋮ Strong approximations for the \(p\)-fold integrated empirical process with applications to statistical tests ⋮ Exact small ball constants for some Gaussian processes under the \(L^2\)-norm

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