A nonuniform bound on convergence to normality
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Publication:1224367
DOI10.1214/AOP/1176996280zbMath0323.60021OpenAlexW4229611180MaRDI QIDQ1224367
Publication date: 1975
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176996280
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Large deviations (60F10)
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Convergence of series with asymptotic expansions of densities ⋮ Conditioned rates of convergence in the CLT for sums and maximum sums ⋮ An estimate of the remainder of a limit theorem ⋮ Rate of convergence in a theorem of Heyde ⋮ On the accuracy of nonuniform Gaussian approximation to the distribution functions of sums of independent and identically distributed random variables ⋮ The central limit theorem for summability methods of I.I.D. random variables ⋮ On the asymptotic equivalence ofL pmetrics for convergence to normality ⋮ Local probabilities of randomly stopped sums of power-law lattice random variables ⋮ On \(L_ p\)-convergence rates for statistical functions with application to L-estimates
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