\vspace{-1.6cm} The paper studies the relations between ϕ-divergences and fundamental concepts of decision theory such as sufficiency, Bayes sufficiency, and LeCam's deficiency. A new and considerably simplified approach is given to the spectral representation of ϕ-divergences already established in Österreicher and Feldman \cite{OestFeld} under restrictive conditions and in Liese and Vajda \cite{LiV06}, \cite{LiV08} in the general form. The simplification is achieved by a new integral representation of convex functions in terms of elementary convex functions which are strictly convex at one point only. Bayes sufficiency is characterized with the help of a binary model that consists of the joint distribution and the product of the marginal distributions of the observation and the parameter, respectively. LeCam's deficiency is expressed in terms of ϕ-divergences where ϕ belongs to a class of convex functions whose curvature measures are finite and satisfy a normalization condition.
In the Prague Dependency Treebank, a part of the texts from the Czech National Corpus is being annotated on several layers, including the underlying (tectogrammatical) representations. The usefulness of such a treebank is briefly characterized and a large set of topics is discussed for which further monographical research appears to be necessary. The future discussion and elaboration of these topics can be carried out much more effectively with the use of the annotated corpus, and the results thus gained may then serve to an enrichment of the descriptive framework and of the annotation procedure.