This article concerns the canonical empirical Bayes problem of estimating normal means under squared-error loss. General empirical estimators are derived which are asymptotically minimax and optimal. Uniform convergence and the speed of convergence are considered. The general empirical Bayes estimators are compared with the shrinkage estimators of Stein (1956) and James and Stein (1961). Estima...

Edith Stein, rare femme philosophe allemande, est née en 1891 dans une famille juive libérale à Breslau et fut assassinée Auschwitz 1942. Sans avoir exercé un pouvoir institutionnel, elle a eu de l’influence sur les personnes qu’elle rencontrait. Dans deux institutions qui comptent pour – l’Université l’Église acquiert visibilité plus ou moins importante tout restant partiellement invisible. En...

Abstract The article examines Autobiography of Alice B. Toklas , by Gertrude Stein. Filtered through the eyes her lover, text’s focus is on Stein’s artistic growth. Published in 1933 and written from “the happily distant perspective 1930s” (Benstock, 1986, p. 144), shows how Stein copes with isolation despair first years expatriation Paris. paper argues that was only able to perform in-depth ac...

The main goal of this paper consists in expressing the solution of a Stein equation in terms of the Fisher information matrix (FIM) of a scalar ARMAX process. A condition for expressing the FIM in terms of a solution to a Stein equation is also set forth. Such interconnections can be derived when a companion matrix with eigenvalues equal to the roots of an appropriate polynomial associated with...