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- W2512307711 abstract "All the available results on the approximation of the k-spacings process to Gaussian processes have only used one approach, that is the Shorack and Pyke's one. Here, it is shown that this approach cannot yield a rate better than $% left( N/log log Nright) ^{-frac{1}{4}}left( log Nright) ^{frac{1}{2}% }$. Strong and weak bounds for that rate are specified both where k is fixed and where $krightarrow +infty $. A Glivenko-Cantelli Theorem is given while Stute's result for the increments of the empirical process based on independent and indentically distributed random variables is extended to the spacings process. One of the Mason-Wellner-Shorack cases is also obtained." @default.
- W2512307711 created "2016-09-16" @default.
- W2512307711 creator A5000193182 @default.
- W2512307711 date "2014-06-28" @default.
- W2512307711 modified "2023-09-27" @default.
- W2512307711 title "Gaussian Approximations and Related Questions for the Spacings process" @default.
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- W2512307711 hasPublicationYear "2014" @default.
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