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math.PR2022
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}…
math.PR2020★ 4 cited
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…