A Generalization of the Lindeberg-Feller Theorem
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Publication:5643340
DOI10.1137/1112076zbMath0234.60031OpenAlexW2049129765MaRDI QIDQ5643340
Publication date: 1967
Published in: Theory of Probability & Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/1112076
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)
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The weak convergence of step processes to a homogeneous Poisson process with independent increments ⋮ Asymptotic expansions for sums of nonidentically distributed Bernoulli random variables ⋮ Limit theorems for polylinear forms ⋮ Martingale central limit theorems without uniform asymptotic negligibility ⋮ Stability bounds of decompositions of infinitely divisible distribution functions with Gaussian component of Linnik's class \(\mathfrak L\). ⋮ On the principle of conditioning and convergence to mixtures of distributions for sums of dependent random variables ⋮ On the Lp convergence of sums of independent random variables ⋮ On a non-classical invariance principle ⋮ On measures of the distance of a mixture from its parent distribution ⋮ Limit theorems for sequences of independent s-dimensional random vectors. I ⋮ Über die Konvergenz gegen ein Poissongesetz ⋮ Linear rank statistics, finite sampling, permutation tests and Winsorizing ⋮ Natural estimates of convergence rate in the central limit theorem
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