Results 1 to 10 of about 2,574 (191)
On Focal Borel Probability Measures
Mathematics, 2022 The novel concept of focality is introduced for Borel probability measures on compact Hausdorff topological spaces. We characterize focal Borel probability measures as those Borel probability measures that are strictly positive on every nonempty open ...
Francisco Javier García-Pacheco +2 more
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On Radon Barycenters of Measures on Spaces of Measures
Известия Иркутского государственного университета: Серия "Математика", 2023 We study metrizability of compact sets in spaces of Radon measures with the weak topology. It is shown that if all compacta in a given completely regular topological space are metrizable, then every uniformly tight compact set in the space of Radon ...
V.I. Bogachev, S.N. Popova
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The Distribution Function of a Probability Measure on a Linearly Ordered Topological Space [PDF]
Mathematics, 2019 In this paper, we describe a theory of a cumulative distribution function on a space with an order from a probability measure defined in this space. This distribution function plays a similar role to that played in the classical case. Moreover, we define its pseudo-inverse and study its properties.
José Fulgencio Gálvez-Rodríguez +1 more
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Convergence of compound probability measures on topological spaces [PDF]
Colloquium Mathematicum, 1994 Let \(X\) and \(Y\) be topological spaces. We present a sufficient condition imposed on transition probabilities that assures the weak convergence or the relative compactness of compound probability measures \(\mu \circ \lambda\) defined by \(\mu \circ \lambda (D) = \int_X \lambda (x,D_x) \mu(dx)\) for a measure \(\mu\) on \(X\) and a transition ...
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Topological dynamics of transformations induced on the space of probability measures
Monatshefte für Mathematik, 1975 LetT be a continuous transformation of a compact metric spaceX. T induces in a natural way a transformationTM on the spaceM (X) of probability measures onX, and a transformationTK on the spaceK (X) of closed subsets ofX. This note investigates which of the topological properties ofT∶X→X (like distality, transitivity, mixing property etc.
Sigmund, Karl, Bauer, Walter
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Moments of probability measures on a group
International Journal of Mathematics and Mathematical Sciences, 1981 New developments and results in the theory of expectatiors and variances for random variables with range in a topological group are presented in the following order (i) Introduction (2) Basic notions (3) The three series theorem in Banach spaces (4 ...
Herbert Heyer
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Bayesian Updating for Stochastic Processes in Infinite-Dimensional Normed Vector Spaces
AxiomsIn this paper, we introduce a generalized framework for conditional probability in stochastic processes taking values in infinite-dimensional normed spaces.
Serena Doria
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The Topology of Information on the Space of Probability Measures over Product of Polish Spaces
, 2014 30 pages, submitted to Journal of Mathematical ...
Barbie, Martin, Gupta, Abhishek
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The Topology of Information on the Space of Probability Measures over Polish Spaces
, 2013 We study here the topology of information on the space of probability measures over Polish spaces that was defined in [1]. We show that under this topology, a convergent sequence of probability measures satisfying a conditional independence property converges to a measure that also satisfies the same conditional independence property. In the process of
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Journal of Functional Analysis, 1973 AbstractWe prove some results regarding tight probability measures on real Frechet spaces and countable strict inductive limits of these spaces. These results are applied to Gaussian measures and to construct a Brownian motion on such spaces. We then prove the log log law of Strassen for this Brownian motion.
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