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Domains of partial attraction and tightness conditions

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Publication:1143715
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DOI10.1214/AOP/1176994728zbMath0442.60050OpenAlexW2093147471MaRDI QIDQ1143715

Naresh C. Jain, Steven Orey

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1214/aop/1176994728


zbMATH Keywords

domain of attractiondomain of partial attractiontight sequenceset of uniform decrease


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)


Related Items (8)

Order of Magnitude of the Concentration Function ⋮ A probabilistic approach to the asymptotic distribution of sums of independent, identically distributed random variables ⋮ Stochastic compactness of distributions of sums of independent random variables with finite variances ⋮ Unnamed Item ⋮ The scaling attractor and ultimate dynamics for Smoluchowski's coagulation equations ⋮ Large deviations for random walks under subexponentiality: The big-jump domain ⋮ Criteria of Relative and Stochastic Compactness for Distributions of Sums of Independent Random Variables ⋮ Extreme values and a Gaussian central limit theorem







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