17 citations · 21 across the 6 of their papers we have counts for
4 papers · 1 filter
Statistical estimation of the Kullback-Leibler divergence
Alexander Bulinski, Denis Dimitrov
Wide conditions are provided to guarantee asymptotic unbiasedness and L^2-consistency of the introduced estimates of the Kullback-Leibler divergence for probability measures in R^d…
Statistical Estimation of Conditional Shannon Entropy
Alexander Bulinski, Alexey Kozhevin
The new estimates of the conditional Shannon entropy are introduced in the framework of the model describing a discrete response variable depending on a vector of d factors having…
Statistical estimation of the Shannon entropy
Alexander Bulinski, Denis Dimitrov
The behavior of the Kozachenko - Leonenko estimates for the (differential) Shannon entropy is studied when the number of i.i.d. vector-valued observations tends to infinity. The as…
Modification of the MDR-EFE method for stratified samples
Alexander Bulinski, Alexey Kozhevin
The MDR-EFE method of performing identification of relevant factors within a given collection X_1,...,X_n is developed for stratified samples in the case of binary response variabl…