A square bias transformation of probability distributions: some properties and applications

DOI10.1134/S1064562413040066zbMath1318.60027OpenAlexW2013762591MaRDI QIDQ382185

I. G. Shevtsova

Publication date: 18 November 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562413040066

zbMATH Keywords

characteristic functions\(X\)-size biased distribution\(X\)-zero biased distributionestimates in terms of \(L_1\)-metric

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characteristic functions; other transforms (60E10)

Related Items (4)

Testing normality in any dimension by Fourier methods in a multivariate Stein equation ⋮ On the absolute constants in the Berry-Esseen-type inequalities ⋮ On the accuracy of the approximation of the complex exponent by the first terms of its Taylor expansion with applications ⋮ On convergence rate in CLT for smooth distributions

Cites Work

• Unnamed Item
• On the accuracy of the Gaussian approximation
• Bounds on the constant in the mean central limit theorem
• Estimation of the mean of a multivariate normal distribution
• Stein's method and the zero bias transformation with application to simple random sampling
• Distributional transformations, orthogonal polynomials, and Stein characterizations
• An improvement of the Berry–Esseen inequality with applications to Poisson and mixed Poisson random sums
• Multivariate normal approximations by Stein's method and size bias couplings
• The Extrema of the Expected Value of a Function of Independent Random Variables

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