37 citations · 64 across the 8 of their papers we have counts for
4 papers · 1 filter
Generalized Limit Theorems For -max Statistics
Ya. Yu. Nikitin, E. N. Simarova
U-max statistics were introduced by Lao and Mayer in 2008. Instead of averaging the kernel over all possible subsets of the original sample, they considered the maximum of the kern…
Spectral equivalence of Gaussian random functions: operator approach
A. I. Nazarov, Ya. Yu. Nikitin
We introduce a new approach to the spectral equivalence of Gaussian processes and fields, based on the methods of operator theory in Hilbert space. Besides several new results incl…
U-max-Statistics and Limit Theorems for Perimeters and Areas of Random Polygons
E. V. Koroleva, Ya. Yu. Nikitin
Recently W. Lao and M. Mayer [6], [7], [9] considered -max - statistics, where instead of sum appears the maximum over the same set of indices. Such statistics often appear in s…
Large deviations of U-empirical Kolmogorov-Smirnov tests, and their efficiency
Yakov Nikitin
Non-degenerate U-empirical Kolmogorov-Smirnov tests are studied and their large deviation asymptotics under the null-hypothesis is described. Several examples of such statistics us…