Аннотация:The new estimates of conditional Shannon entropy are introduced in the framework of the model describing a discrete response variable depending on a vector of $d$ factors having a density w.r.t. Lesbegues measure in $R^d$. Namely, the mixed pair model $(X,Y)$ is considered where $X$
and $Y$ take values in $R^d$ and arbitrary finite set, respectively. Such models include, for instance, the famous logistic regression. In contrast to well-known Kozachenko-Leonenko estimates unconditional entropy the proposed estimates are constructed be means of certain spacial order statistics (or $k$ nearest neighbor statistics where $k=k_n$ depends on amount of observations $n$)and a random number of i.i.d. observations contained in the balls of specified random radii. The asymptotic unbiasedness and $L^2$-consistency of the new estamates are obtained under simple conditions. The obtained results can be applied to the feture selection problem which is important for medical and biological investigations.