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Universal Sample Size Invariant Measures for Uncertainty Quantification in Density Estimation [PDF]
Entropy, 2019 Previously, we developed a high throughput non-parametric maximum entropy method (PLOS ONE, 13(5): e0196937, 2018) that employs a log-likelihood scoring function to characterize uncertainty in trial probability density estimates through a scaled quantile
Jenny Farmer +3 more
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A note on invariant measures [PDF]
Opuscula Mathematica, 2011 The aim of the paper is to show that if \(\mathcal{F}\) is a family of continuous transformations of a nonempty compact Hausdorff space \(\Omega\), then there is no \(\mathcal{F}\)-invariant probabilistic Borel measures on \(\Omega\) iff there are ...
Piotr Niemiec
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Editorial: Measurement Invariance [PDF]
Frontiers in Psychology, 2015 Multi-item surveys are frequently used to study scores on latent factors, like human values, attitudes, and behavior. Such studies often include a comparison, between specific groups of individuals or residents of different countries, either at one or multiple points in time (i.e., a cross-sectional or a longitudinal comparison or both).
Rens eVan De Schoot +8 more
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Macdonald Formula, Ricci Curvature, and Concentration Locus for Classical Compact Lie Groups
Axioms, 2022 We consider the phenomenon of concentration of measures, which is restricted to the case of families of compact connected Lie groups. While in the literature, powerful general results regarding the existence of concentration and its relations to extremal
Sergio Cacciatori, Pietro Ursino
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Conservation Laws and Invariant Measures in Surjective Cellular Automata [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We discuss a close link between two seemingly different topics studied in the cellular automata literature: additive conservation laws and invariant probability measures.
Jarkko Kari, Siamak Taati
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Invariant Finitely Additive Measures for General Markov Chains and the Doeblin Condition
Mathematics, 2023 In this paper, we consider general Markov chains with discrete time in an arbitrary measurable (phase) space. Markov chains are given by a classical transition function that generates a pair of conjugate linear Markov operators in a Banach space of ...
Alexander Zhdanok
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Decomposition of Finitely Additive Markov Chains in Discrete Space
Mathematics, 2022 In this study, we consider general Markov chains (MC) defined by a transition probability (kernel) that is finitely additive. These Markov chains were constructed by S. Ramakrishnan within the concepts and symbolism of game theory.
Alexander Zhdanok, Anna Khuruma
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RECURRENCE AND THE EXISTENCE OF INVARIANT MEASURES [PDF]
The Journal of Symbolic Logic, 2021 AbstractWe show that recurrence conditions do not yield invariant Borel probability measures in the descriptive set-theoretic milieu, in the strong sense that if a Borel action of a locally compact Polish group on a standard Borel space satisfies such a condition but does not have an orbit supporting an invariant Borel probability measure, then there ...
Inselmann, Manuel, Miller, Benjamin
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Soliton Decomposition of the Box-Ball System
Forum of Mathematics, Sigma, 2021 The box-ball system (BBS) was introduced by Takahashi and Satsuma as a discrete counterpart of the Korteweg-de Vries equation. Both systems exhibit solitons whose shape and speed are conserved after collision with other solitons.
Pablo A. Ferrari +3 more
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, 2015 Multi-item surveys are frequently used to study scores on latent factors, like human values, attitudes and behavior. Such studies often include a comparison, between specific groups of individuals, either at one or multiple points in time. If such latent factor means are to be meaningfully compared, the measurement structures including the latent ...
Schoot, R. van de +2 more
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