Displaying similar documents to “A note on determinacy of measures”

The product-decomposability of probability measures on Abelian metrizable groups

Krakowiak Wiesław

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Introduction.............................................................5I. Preliminaries.........................................................6   1.1. Semigroups........................................7   1.2. Algebraic groups..................................7   1.3. Additive operators in Abelian groups and linear operators in linear spaces................................8   1.4. Abelian metrizable groups........................10   1.5. Locally compact Abelian groups...................13   1.6....

Can interestingness measures be usefully visualized?

Robert Susmaga, Izabela Szczech (2015)

International Journal of Applied Mathematics and Computer Science

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The paper presents visualization techniques for interestingness measures. The process of measure visualization provides useful insights into different domain areas of the visualized measures and thus effectively assists their comprehension and selection for different knowledge discovery tasks. Assuming a common domain form of the visualized measures, a set of contingency tables, which consists of all possible tables having the same total number of observations, is constructed. These...

On the order equivalence relation of binary association measures

Mariusz Paradowski (2015)

International Journal of Applied Mathematics and Computer Science

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Over a century of research has resulted in a set of more than a hundred binary association measures. Many of them share similar properties. An overview of binary association measures is presented, focused on their order equivalences. Association measures are grouped according to their relations. Transformations between these measures are shown, both formally and visually. A generalization coefficient is proposed, based on joint probability and marginal probabilities. Combining association...

Infinitely divisible cylindrical measures on Banach spaces

Markus Riedle (2011)

Studia Mathematica

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In this work infinitely divisible cylindrical probability measures on arbitrary Banach spaces are introduced. The class of infinitely divisible cylindrical probability measures is described in terms of their characteristics, a characterisation which is not known in general for infinitely divisible Radon measures on Banach spaces. Further properties of infinitely divisible cylindrical measures such as continuity are derived. Moreover, the classification result enables us to deduce new...