8 citations · 12 across the 3 of their papers we have counts for
5 papers
On De la Peña Type Inequalities for Point Processes
Naiqi Liu, Vladimir V. Ulyanov, Hanchao Wang
There has been a renewed interest in exponential concentration inequalities for stochastic processes in probability and statistics over the last three decades. De la Peña \cite{d}…
Two-sided inequalities for the density function's maximum of weighted sum of chi-square variables
Sergey G. Bobkov, Alexey A. Naumov, Vladimir V. Ulyanov
Two--sided bounds are constructed for a probability density function of a weighted sum of chi-square variables. Both cases of central and non-central chi-square variables are consi…
Second Order Expansions for Sample Median with Random Sample Size
Gerd Christoph, Vladimir V. Ulyanov, Vladimir E. Bening
In practice, we often encounter situations where a sample size is not defined in advance and can be a random value. The randomness of the sample size crucially changes the asymptot…
Bootstrap confidence sets for spectral projectors of sample covariance
Alexey Naumov, Vladimir Spokoiny, Vladimir Ulyanov
Let be i.i.d. sample in with zero mean and the covariance matrix . The problem of recovering the projector onto an eigenspace of $\m…
Spin systems, spin coherent states and quasi-exactly solvable models
V. V. Ulyanov, O. B. Zaslavskii
Spin coherent states play a crucial role in defining QESM (quasi-exactly solvable models) establishing a strict correspondence between energy spectra of spin systems and low-lying…