6 citations · 6 across the 3 of their papers we have counts for
4 papers
Fisher-type information involving higher order derivatives
Sergey G. Bobkov
Basic general properties are considered for the Fisher-type information involving higher order derivatives. They are used to explore various properties of probability densities and…
On Gilles Pisier's approach to gaussian concentration, isoperimetry and Poincaré-type inequalities
Sergey G. Bobkov, Bruno Volzone
We discuss a natural extension of Gilles Pisier's approach to the study of measure concentration, isoperimetry and Poincaré-type inequalities. This approach allows one to explore c…
Normal Approximation for Weighted Sums under a Second Order Correlation Condition
S. G. Bobkov, G. P. Chistyakov, F. Götze
Under correlation-type conditions, we derive an upper bound of order for the average Kolmogorov distance between the distributions of weighted sums of dependent summan…
Concentration of empirical distribution functions with applications to non-i.i.d. models
S. G. Bobkov, F. Götze
The concentration of empirical measures is studied for dependent data, whose joint distribution satisfies Poincaré-type or logarithmic Sobolev inequalities. The general concentrati…