%0 Journal Article %T Upper Functions for Positive Random Functionals. II. Application to the Empirical Processes Theory, Part 1 %+ Institut de Mathématiques de Marseille (I2M) %A Lepski, O %< avec comité de lecture %@ 1066-5307 %J Mathematical Methods of Statistics %I Springer %V 22 %N 2 %P 83–99 %8 2013 %D 2013 %R 10.3103/S1066530713020014 %K upper function %K empirical processes %K metric entropy %K secondary 62G07 %Z 2000 Mathematics Subject Classification: primary 60E15, secondary 62G07, 62G08 %Z Mathematics [math]Journal articles %X —In this part of the paper we apply the results obtained in Lepski (2013) to the variety of problems related to empirical processes. %G English %2 https://hal.science/hal-01265253/document %2 https://hal.science/hal-01265253/file/upper_function_final1.pdf %L hal-01265253 %U https://hal.science/hal-01265253 %~ CNRS %~ UNIV-AMU %~ EC-MARSEILLE %~ INSMI %~ I2M %~ I2M-2014-