منابع مشابه
Computability on the Probability Measures on the Borel Sets of the Unit Interval
Scientists apply digital computers to perform computations on natural numbers, nite strings, real numbers and more general objects like sets, functions and measures. While computability theory on many countable sets is well established and for computability on the real numbers several (unfortunately mutually non-equivalent) deenitions are being studied, in particular for measures no computabili...
متن کاملRectangular Sets of Probability Measures
In this paper we consider the notion of rectangularity of a set of probability measures, introduced in Epstein and Schneider [4], from a somewhat different point of view. We define rectangularity as a property of dynamic decomposition of a distributionally robust stochastic optimization problem and show how it relates to the modern theory of coherent risk measures. Consequently we discuss robus...
متن کاملMeasures of Sets Partitioning Borel ' S Simply Normal Numbers
5 = {a) : 0 < a) < 1, lim pm (00) = 1/2}, m -> co then v(S) = 1. Borel s arguments in support of this impressive fact were flawed, but valid proofs were supplied by later workers (see [1]). The set S defines those numbers in [0, 1] which are said to be simply normal to base 2. The very definition of simply normal numbers induces rather natural families of partitions of [0, 1]. Motivated by the ...
متن کاملOn Borel Probability Measures and Noncooperative Game Theory
In this paper the well-known minimax theorems of Wald, Ville and Von Neumann are generalized under weaker topological conditions on the payoff function f and/or extended to the larger set of the Borel probability measures instead of the set of mixed strategies.
متن کاملSeparation Properties of Sets of Probability Measures
This paper analyzes independence concepts for sets of probability measures associated with directed acyclic graphs. The paper shows that epistemic independence and the standard Markov condition violate desirable separation properties. The adoption of a contraction condition leads to d-separation but still fails to guarantee a belief separa tion property. To overcome this unsatisfac tory situa...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1973
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1973.48.141