Als einfaches Beispiel für ein programmiertes Spiel können wir unsüberlegen, wie ein Algorithmus für das bekannte Spiel " Papier-Schere-Stein " (Schnick-Schnack-Schnuck) aussehen könnte. Das Spiel funktioniert so: Bei jeder Spielrunde wählst Du eine der drei Möglichkeiten " Papier " , " Schere " oder " Stein ". Dann wird der Algorithmus ausgeführt und liefert als Ergebnis ebenfalls " Papier " o...

A surjective holomorphic map Π : X → Y between complex spaces is said to be a Stein morphism, if for every point y ∈ Y , there exists an open neighborhood U of y such that Π(U) is Stein. In 1977, Skoda [12] showed that a locally trivial analytic fiber bundle Π : X → Ω with Stein base and Stein fibers is not necessarily a Stein manifold. Thus giving a negative answer to a conjecture proposed in ...

WILLIAM BECKNER Abstract. Sharp Lp extensions of Pitt’s inequality expressed as a weighted Sobolev inequality are obtained using convolution estimates and Stein-Weiss potentials. Optimal constants are obtained for the full Stein-Weiss potential as a map from Lp to itself which in turn yield semi-classical Rellich inequalities on Rn. Additional results are obtained for Stein-Weiss potentials wit...

Stein’s result has transformed common belief in statistical world that the maximum likelihood estimator, which is in common use for more than a century, is optimal. Charles Stein showed in 1955 that it is possible to uniformly improve the maximum likelihood estimator (MLE) for the Gaussian model in terms of total squared error risk when several parameters are estimated simultaneously from indep...

Sharp tail asymptotics are established for generalized Heston and Stein-Stein stochastic volatility models, with a perturbed drift for the volatility process. This builds on the work of Gulisashvili&Stein[Gul10],[GS10][GS10I] and Friz et al.[FGGS10], [DFJV11].

In 1958, Irving Freiler Stein Sr. published ?The Stein-Leventhal Syndrome: A Curable Form of Sterility? documenting his findings on the diagnosis and surgical treatment of Stein-Leventhal syndrome. Stein-Leventhal syndrome, later called polycystic ovarian syndrome (PCOS), affects the reproductive health of women. Common symptoms include excess body hair, a lack of menstrual cycle or amenorrhea,...

1 Stein’s lemma • In a landmark paper, Stein (1981) derived a beautiful and simple lemma about the standard normal distribution. Indeed, Stein knew of this result much earlier and wrote about it in previous papers, but in Stein (1981), the author developed a multivariate extension of this lemma that led to a remarkable result on unbiased risk estimation. (And, an interesting note: the paper Ste...