A Local Limit Theorem and Recurrence Conditions for Sums of Independent Non-Lattice Random Variables
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Publication:5644868
DOI10.1214/aoms/1177697099zbMath0235.60067OpenAlexW2013563471MaRDI QIDQ5644868
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Publication date: 1970
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177697099
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)
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Edgeworth expansions for independent bounded integer valued random variables ⋮ On the local limit theorems for psi-mixing Markov chains ⋮ A criterion for tail events for sums of independent random variables ⋮ The winner‐take‐all dilemma ⋮ Recurrence of inhomogeneous random walks ⋮ On the local limit theorems for lower psi-mixing Markov chains ⋮ A local limit theorem for independent random variables ⋮ A local limit theorem for linear random fields
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