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- W3104421847 abstract "The main purpose of this paper is to investigate the strong approximation of the p-fold integrated empirical process, p being a fixed positive integer. More precisely, we obtain the exact rate of the approximations by a sequence of weighted Brownian bridges and a weighted Kiefer process. Our arguments are based in part on the Komlós et al. (Z Wahrscheinlichkeitstheorie und Verw Gebiete 32:111–131, 1975)’s results. Applications include the two-sample testing procedures together with the change-point problems. Finally, simulation results are provided to illustrate the finite sample performance of the proposed statistical tests based on the integrated empirical processes." @default.
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- W3104421847 date "2017-12-13" @default.
- W3104421847 modified "2023-09-23" @default.
- W3104421847 title "Strong approximations for the p-fold integrated empirical process with applications to statistical tests" @default.
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- W3104421847 doi "https://doi.org/10.1007/s11749-017-0572-0" @default.
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