A strengthened asymptotic uniform distribution property
From MaRDI portal
Publication:6546058
DOI10.37190/0208-4147.00147zbMATH Open1540.60053MaRDI QIDQ6546058
Publication date: 29 May 2024
Published in: Probability and Mathematical Statistics (Search for Journal in Brave)
Bernoulli random variableslocal limit theoremdivisorsPoisson summation formulaelliptic theta functionsasymptotic uniform distributionindependent sequences of random variablesRozanov's theorem
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Almost sure local limit theorem for the Dickman distribution
- Dynamical systems and processes
- A local limit theorem for large deviations of sums of independent, nonidentically distributed random variables
- Some Tauberian theorems related to coin tossing
- Probabilistic methods for algorithmic discrete mathematics
- On a local limit theorem in strong sense
- An elementary proof of the local central limit theorem
- Edgeworth expansions for independent bounded integer valued random variables
- Approximate local limit theorems with effective rate and application to random walks in random scenery
- Small divisors of Bernoulli sums
- Sums of random integers reduced modulo \(m\)
- Local Limit Theorems for Lattice Random Variables
- Quickselect and the Dickman Function
- Structure Theory of Set Addition and Local Limit Theorems for Independent Lattice Random Variables
- A sharp correlation inequality with an application to almost sure local limit theorem
- On a Local Limit Theorem for Lattice Random Variables
- Some Problems in the Field of Limit Theorems
- On Mukhin's necessary and sufficient condition for the validity of the local limit theorem
- Classical and almost sure local limit theorems
- A uniform semi-local limit theorem along sets of multiples for sums of i.i.d. random variables
This page was built for publication: A strengthened asymptotic uniform distribution property