Espérance mathématique d’une variable aléatoire à valeurs dans un espace métrique à courbure négative. (Mathematical expectation of a random variable with values in a metric space of negative curvature). (French) Zbl 0638.60005

Herer, Wojciech

C. R. Acad. Sci., Paris, Sér. I 306, No. 15, 681-684 (1988).

Summary: We define the class of metric spaces of negative curvature. If f is a random variable with values in a Polish space (X,d) of negative curvature, we define mathematical expectation of f as a closed, bounded non empty subset of X.

MSC:

60B05

Probability measures on topological spaces

Keywords:

metric spaces of negative curvature