On an L\(_p\) version of the Berry-Esseen theorem for independent and m- dependent variables

DOI10.1214/aop/1176996944zbMath0292.60040OpenAlexW2050586300MaRDI QIDQ1211782

Roy V. Erickson

Publication date: 1973

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176996944

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Limit theorems in probability theory (60F99)

Related Items (9)

On the \(L_ p\) rates of convergence of simple linear rank statistics under contiguous alternatives ⋮ On a lower bound of the rate of convergence in the central limit theorem for \(m\)-dependent random variables ⋮ \(L_1\) bounds for asymptotic normality of random sums of independent random variables ⋮ On the normal approximation of a binomial random sum ⋮ On a lower bound of \(L_p\) norms in the central limit theorem for \(\varphi\)-mixing random variables ⋮ A lower bound of \(L_p\) norms in the CLT for strongly mixing random variables ⋮ Rates of convergence for U-Statistics with varying kernels ⋮ On the rate of convergence of \(L_p\) norms in the CLT for Poisson and gamma random variables ⋮ Distance in the metric of \(L_ 1 \)of the distribution of a sum of weakly dependent random variables from the normal distribution function

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