Blackwell Sufficiency and Fuzzy Experiments

Author(s):  
Andreas Wünsche
1997 ◽  
Vol 15 (4) ◽  
Author(s):  
J. Hille

Author(s):  
D. J. F. Nonnenmacher ◽  
R. Zagst

AbstractJensen's inequality for the expectation of a convex function of a random variable is proved for a wide class of convex functions defined on a space of probability measures. The result is applied to statistical experiments using the concept of Blackwell-sufficiency. In particular, we show a monotonicity result for the expected information of Poisson-experiments. As an application to economics we consider the introduction of new production technologies.


2002 ◽  
Vol 130 (1) ◽  
pp. 51-66
Author(s):  
W. Näther ◽  
A. Wünsche

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