A uniform semi-local limit theorem along sets of multiples for sums of i.i.d. random variables

DOI10.7169/FACM/2078zbMATH Open1548.6006MaRDI QIDQ6612913

Michel Weber

Publication date: 1 October 2024

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

zbMATH Keywords

distributiontheta functionsBernoulli random variablesdivisorsi.i.d. sumsprime numbers.semi-local limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Cites Work

• Title not available (Why is that?)
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• A local limit theorem for large deviations of sums of independent, nonidentically distributed random variables
• An elementary proof of the local central limit theorem
• Approximate local limit theorems with effective rate and application to random walks in random scenery
• Small divisors of Bernoulli sums
• Local Limit Theorems for Lattice Random Variables
• A Measure of “smoothness” of Multidimensional Distributions of Integer-Valued Random Vectors
• On a Lower Bound for the Convergence Rate in a Local Limit Theorem
• On the Application of a Smoothness Function in Proving a Local Limit Theorem
• On “Smoothing” the Probabilities for Sums of Independent Integer-Valued Variables
• A sharp correlation inequality with an application to almost sure local limit theorem
• Classical and almost sure local limit theorems

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