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math.PRFeb 14, 2012
4
citations (OpenAlex)
authors
  • E. Ostrovsky
  • L. Sirota
arXiv abstractPDF
paper

Multidimensional Probabilistic Rearrangement Invariant Spaces: A New Approach

arXiv:1202.3130

Abstract

We introduce and investigate in this paper a new convenient method of introduction of a norm in the multidimensional rearrangement probability invariant space.

References in corpus (3)

  • Schlomilch and Bell Series for Bessel's Functions, with Probabilistic Applications
  • Bide - Side Exponential and Moment Inequalities for Tails of Distributions of Polynomial Martingales
  • Non-Improved Uniform Tail Estimates for Normed Sums of Independent Random Variables with Heavy Tails, with applications

Cited by in corpus (4)

  • Relations between exponential tails, moments and moment generating functions for random variables and vectors
  • Vector rearrangement invariant banach spaces of random variables with exponential decreasing tails of distributions
  • Non-asymptotical sharp exponential estimates for maximum distribution of discontinuous random fields
  • Grand Lebesgue Spaces norm estimates for multivariate functional operations
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