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Gradient flows in metric spaces and in the space of probability measures
 LECTURES IN MATHEMATICS ETH ZÜRICH, BIRKHÄUSER VERLAG
, 2005
"... ..."
Probability Measurement.
, 1974
"... A student's choice of an answer to a test question is a 7oarse measure of his knowledge about the subject matter of the question. Such finer measurement might be achieved if the student were asked to estimate, for each possible answer, the probability that it ' is the correct oie. Such a p ..."
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A student's choice of an answer to a test question is a 7oarse measure of his knowledge about the subject matter of the question. Such finer measurement might be achieved if the student were asked to estimate, for each possible answer, the probability that it ' is the correct oie. Such a
Rational probability measures∗
, 2011
"... In this paper we introduce the concept of rational probability measures. These are probability measures that map every Borel event to a rational number. We show that a rational probability measure has a finite support. As a consequence we prove a new version of Kolmogorov extension theorem. In the s ..."
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In this paper we introduce the concept of rational probability measures. These are probability measures that map every Borel event to a rational number. We show that a rational probability measure has a finite support. As a consequence we prove a new version of Kolmogorov extension theorem
Amenable coverings of complex manifolds and holomorphic probability measures
 Invent. math
, 1992
"... probability measures ..."
IDEMPOTENT PROBABILITY MEASURES, I
, 2006
"... Abstract. The set of all idempotent probability measures (Maslov measures) on a compact Hausdorff space endowed with the weak * topology determines is functorial on the category Comp of compact Hausdorff spaces. We prove that the obtained functor is normal in the sense of E. Shchepin. Also, this fun ..."
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Cited by 3 (1 self)
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Abstract. The set of all idempotent probability measures (Maslov measures) on a compact Hausdorff space endowed with the weak * topology determines is functorial on the category Comp of compact Hausdorff spaces. We prove that the obtained functor is normal in the sense of E. Shchepin. Also
Admissible representations of probability measures
 Electronic Notes in Theoretical Computer Science
"... In a recent paper, probabilistic processes are used to generate Borel probability measures on topological spaces X that are equipped with a representation in the sense of Type2 Theory of Effectivity. This gives rise to a natural representation of the set M(X) of Borel probability measures on X. We ..."
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Cited by 22 (0 self)
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In a recent paper, probabilistic processes are used to generate Borel probability measures on topological spaces X that are equipped with a representation in the sense of Type2 Theory of Effectivity. This gives rise to a natural representation of the set M(X) of Borel probability measures on X. We
IntervalValued Probability Measures
, 2004
"... Abstract: The purpose of this paper is propose a simple de…nition of an intervalvalued probability measure and to examine some of the implications of this de…nition. This de…nition provides a method for characterizing certain types of imprecise probabilities. We develop some properties of this de…n ..."
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Cited by 2 (0 self)
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Abstract: The purpose of this paper is propose a simple de…nition of an intervalvalued probability measure and to examine some of the implications of this de…nition. This de…nition provides a method for characterizing certain types of imprecise probabilities. We develop some properties of this de
Divergence measures based on the Shannon entropy
 IEEE Transactions on Information theory
, 1991
"... AbstractA new class of informationtheoretic divergence measures based on the Shannon entropy is introduced. Unlike the wellknown Kullback divergences, the new measures do not require the condition of absolute continuity to be satisfied by the probability distributions involved. More importantly, ..."
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Cited by 657 (0 self)
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AbstractA new class of informationtheoretic divergence measures based on the Shannon entropy is introduced. Unlike the wellknown Kullback divergences, the new measures do not require the condition of absolute continuity to be satisfied by the probability distributions involved. More importantly
Convergence Of Probability Measures Revisited
"... . The hypoconvergence of upper semicontinuous functions provides a natural framework for the study of the convergence of probability measures. This approach also yields some further characterizations of weak convergence and equitightness. Keywords: Narrow (weak, weak*) convergence, epiconvergence ..."
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. The hypoconvergence of upper semicontinuous functions provides a natural framework for the study of the convergence of probability measures. This approach also yields some further characterizations of weak convergence and equitightness. Keywords: Narrow (weak, weak*) convergence, epi
Results 1  10
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2,621,184