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A characterization of distributions by mean values of statistics and certain probabilistic metrics

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Publication:353203
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DOI10.1007/BF01099119zbMath1267.60014MaRDI QIDQ353203

A. A. Zinger, Lev B. Klebanov, Ashot V. Kakosyan

Publication date: 12 July 2013

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

Probability distributions: general theory (60E05)


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Hyperbolic space has strong negative type ⋮ A statistical model of cluster stability ⋮ Geometrical Insights for Implicit Generative Modeling ⋮ Manifold energy two-sample test ⋮ Strong negative type in spheres ⋮ Remember the curse of dimensionality: the case of goodness-of-fit testing in arbitrary dimension ⋮ Characteristic and Universal Tensor Product Kernels ⋮ The Fourier transform technique for convolution equations in the infinite dimensional \(\ell_ q\)-spaces ⋮ Tests for multivariate normality -- a critical review with emphasis on weighted $L^2$-statistics



Cites Work

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  • On potentials of measures in Banach spaces
  • Moments of measures on Banach spaces
  • A note on \(L_p\)-spaces




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