A square bias transformation of probability distributions: some properties and applications
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Publication:382185
DOI10.1134/S1064562413040066zbMath1318.60027OpenAlexW2013762591MaRDI QIDQ382185
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
characteristic functions\(X\)-size biased distribution\(X\)-zero biased distributionestimates in terms of \(L_1\)-metric
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
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- 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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