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• W1976479487 abstract "We introduce a new Brownian bridge approximation to weighted empirical and quantile processes with rates in probability. This approximation leads to a number of general invariance theorems for empirical and quantile processes indexed by functions. Improved versions of the Chibisov-O'Reilly theorems, the Eicker-Jaeschke theorems for standardized empirical and quantile processes, the normal convergence criterion, and various other old and new asymptotic results on empirical and quantile processes are presented as consequences of our general theorems. In the process, we provide a new characterization of Erdos-Feller-Kolmogorov-Petrovski upper-class functions for the Brownian motion in an improved form." @default.
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• W1976479487 date "1986-01-01" @default.
• W1976479487 modified "2023-10-16" @default.
• W1976479487 title "Weighted Empirical and Quantile Processes" @default.
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• W1976479487 doi "https://doi.org/10.1214/aop/1176992617" @default.
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