Elliptically contoured measures on infinite-dimensional Banach spaces
John Crawford (1977)
Studia Mathematica
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Displaying similar documents to “Transportation Cost for Gaussian and Other Product Measures.”
Elliptically contoured measures on infinite-dimensional Banach spaces
Zero-one laws for Gaussian measures on metric abelian groups
T. Byczkowski (1981)
Studia Mathematica
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Uniqueness Theorems for Gaussian Measures in lq, 1<..q<... .
Werner Linde (1988)
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A characterization of Gaussian measures on Banach spaces
K. Urbanik (1977)
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Dale E. Varberg (1966)
Mathematica Scandinavica
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Correlation measures.
Lewis, Thomas M., Pritchard, Geoffrey (1999)
Electronic Communications in Probability [electronic only]
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Gaussian measures on locally compact Abelian topological groups
K. Urbanik (1960)
Studia Mathematica
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A Note on Functions Which Separate Gaussian Measures.
Maciej Lewandowski (1989)
Mathematische Zeitschrift
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Equivalence of Gaussian measures of finite sum of stochastic processes
S. Mitrović (1984)
Matematički Vesnik
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Geometric influences II: Correlation inequalities and noise sensitivity
Nathan Keller, Elchanan Mossel, Arnab Sen (2014)
Annales de l'I.H.P. Probabilités et statistiques
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In a recent paper, we presented a new definition of influences in product spaces of continuous distributions, and showed that analogues of the most fundamental results on discrete influences, such as the KKL theorem, hold for the new definition in Gaussian space. In this paper we prove Gaussian analogues of two of the central applications of influences: Talagrand’s lower bound on the correlation of increasing subsets of the discrete cube, and the Benjamini–Kalai–Schramm (BKS) noise sensitivity...
New Gaussian Estimates for Enlarged Balls.
M. Talagrand (1993)
Geometric and functional analysis
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On the mean speed of convergence of empirical and occupation measures in Wasserstein distance
Emmanuel Boissard, Thibaut Le Gouic (2014)
Annales de l'I.H.P. Probabilités et statistiques
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In this work, we provide non-asymptotic bounds for the average speed of convergence of the empirical measure in the law of large numbers, in Wasserstein distance. We also consider occupation measures of ergodic Markov chains. One motivation is the approximation of a probability measure by finitely supported measures (the quantization problem). It is found that rates for empirical or occupation measures match or are close to previously known optimal quantization rates in several cases....