Bayes estimators for densities of sufficient statistics for the normal distribution and their statistical properties

In this paper the Bayes estimates are constructed for the distribution density of sufficient statistics in the case of a normal law. The asymptotic properties of these estimates are discussed. These estimates may be used for constructing classification rules which allow one to solve new classification problems. Translated fromStatisticheskie Metody Otsenivaniya i Proverki Gipotez, pp. 5–13, Perm, 1991.