37 citations · 64 across the 8 of their papers we have counts for
8 papers
Bahadur efficiency of EDF based normality tests when parameters are estimated
Bojana Milošević, Ya. Yu. Nikitin, Marko Obradović
In this paper some well-known tests based on empirical distribution functions (EDF) with estimated parameters for testing composite normality hypothesis are revisited, and some new…
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…
Tests based on characterizations, and their efficiencies: a survey
Ya. Yu. Nikitin
A survey of goodness-of-fit and symmetry tests based on the characterization properties of distributions is presented. This approach became popular in recent years. In most cases t…
New characterization based symmetry tests
V. Božin, B. Milošević, Ya. Yu. Nikitin +1
Two new symmetry tests, of integral and Kolmogorov type, based on the characterization by squares of linear statistics are proposed. The test statistics are related to the family o…
On the probability of co-primality of two natural numbers chosen at random (Who was the first to pose and solve this problem?)
Sergei Abramovich, Yakov Yu. Nikitin
The article attempts to demonstrate the rich history of one truly remarkable problem situated at the confluence of probability theory and theory of numbers - finding the probabilit…