The sigma-core of convex games and the problem of measure extension.
Statistische Entscheidungsprobleme mit nichtkompaktem Aktionenraum.
Minimaxtheoreme und das Integraldarstellungsproblem.
Minimax theorems with applications to convex metric spaces
A minimax theorem is proved which contains a recent result of Pinelis and a version of the classical minimax theorem of Ky Fan as special cases. Some applications to the theory of convex metric spaces (farthest points, rendez-vous value) are presented.
Gamma-minimax estimators in the exponential family
The Γ-minimax estimator under squared error loss for the unknown parameter of a one-parameter exponential family with an unbiased sufficient statistic having a variance which is quadratic in the parameter is explicitly determined for a class Γ of priors consisting of all distributions whose first two moments are within some given bounds. This generalizes the choice of Γ in Jackson et al. (1970) as well as the unrestricted case. It is shown that the underlying statistical game is always strictly...
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