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Closeness of convolutions of probability measures

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Publication:605035
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DOI10.3150/08-BEJ171zbMath1205.60022arXiv0811.0622MaRDI QIDQ605035

Bero Roos

Publication date: 12 November 2010

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.0622


zbMATH Keywords

convolutionssigned measurestotal variation distancemultivariate Krawtchouk polynomialsexplicit constantsgeneralized multinomial distributionmagic factormultinomial approximation


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Banach algebras of continuous functions, function algebras (46J10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)




Cites Work

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  • Binomial approximation to the Poisson binomial distribution
  • An expansion in the exponent for compound binomial approximations
  • Stein's method and multinomial approximation
  • Kerstan's method for compound Poisson approximation.
  • An approximation theorem for the Poisson binomial distribution
  • Binomial Approximation to the Poisson Binomial Distribution: The Krawtchouk Expansion
  • Multivariable Meixner, Krawtchouk, and Meixner–Pollaczek polynomials
  • Multinomial and Krawtchouk Approximations to the Generalized Multinomial Distribution
  • Verallgemeinerung eines Satzes von Prochorow und Le Cam
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