61 citations · 83 across the 9 of their papers we have counts for
12 papers
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…
Simulation and analytical approach to the identification of significant factors
Alexander V. Bulinski, Alexander S. Rakitko
We develop our previous works concerning the identification of the collection of significant factors determining some, in general, non-binary random response variable. Such identif…
Central limit theorem related to MDR-method
Alexander Bulinski
In many medical and biological investigations, including genetics, it is typical to handle high dimensional data which can be viewed as a set of values of some factors and a binary…