5 citations · 12 across the 11 of their papers we have counts for
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Cramér type moderate deviations for trimmed L-statistics
Nadezhda Gribkova
We establish Cramér type moderate deviation (MD}) results for heavy trimmed L-statistics; we obtain our results under a very mild smoothness condition on the inversion ($F…
Cramér type moderate deviations for intermediate trimmed means
Nadezhda Gribkova
In this article we establish Cramér type moderate deviation results for (intermediate) trimmed means , where -- the order statis…
Bounds for absolute moments of order statistics
Nadezhda V. Gribkova
The bounds for absolute moments of order statistics are established. Let be independent identically distributed real-valued random variables and let $X_{1:n}\le \d…
Cramér type large deviations for trimmed L-statistics
Nadezhda Gribkova
In this paper, we propose a new approach to the investigation of asymptotic properties of trimmed -statistics and we apply it to the Cramér type large deviation problem. Our res…
On the Bahadur - Kiefer Representation for Intermediate Sample Quantiles
Nadezhda Gribkova, Roelof Helmers
We investigate a Bahadur-Kiefer type representation for the p-th empirical quantile corresponding to a sample of n i.i.d. random variables, when 0<p<1 is a sequence which, in parti…
Second Order Approximations for Slightly Trimmed Sums
N. V. Gribkova, R. Helmers
We investigate the second order asymptotic behavior of trimmed sums $T_n=\frac 1n \sum_{i=\kn+1}^{n-\mn}\xin$, where $\kn$, $\mn$ are sequences of integers, $0\le \kn < n-\mn \le n…