Moderate deviations for functionals over infinitely many Rademacher random variables
DOI10.30757/ALEA.V21-51MaRDI QIDQ6634808
Peter Eichelsbacher, Benedikt Rednoß, Marius Butzek
Publication date: 8 November 2024
Published in: ALEA. Latin American Journal of Probability and Mathematical Statistics (Search for Journal in Brave)
Berry-Esseen boundCramér-type moderate deviationErdős-Rényi random graphRademacher functionalsubgraph countMalliavin-Stein methoddiscrete stochastic analysisinfinite weighted 2-run
Extreme value theory; extremal stochastic processes (60G70) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Berry-Esseen bounds and multivariate limit theorems for functionals of Rademacher sequences
- Stein's method and stochastic analysis of Rademacher functionals
- Stochastic analysis of Bernoulli processes
- When are small subgraphs of a random graph normally distributed?
- Subgraph counts in random graphs using incomplete U-statistics methods
- A remainder term estimate for the normal approximation in classical occupancy
- A central limit theorem for decomposable random variables with applications to random graphs
- On coupling constructions and rates in the CLT for dependent summands with applications to the antivoter model and weighted \(U\)-statistics
- On the fourth moment condition for Rademacher chaos
- From Stein identities to moderate deviations
- Cramér-type moderate deviation of normal approximation for unbounded exchangeable pairs
- A refined Cramér-type moderate deviation for sums of local statistics
- Cramér-type moderate deviation theorems for nonnormal approximation
- Normal approximation for sums of weighted \(U\)-statistics -- application to Kolmogorov bounds in random subgraph counting
- Multivariate central limit theorems for Rademacher functionals with applications
- Discrete Malliavin-Stein method: Berry-Esseen bounds for random graphs and percolation
- A simplified second-order Gaussian Poincaré inequality in discrete setting with applications
- Normal Approximations with Malliavin Calculus
- Normal Approximation by Stein’s Method
- An Introduction to Stein's Method
- CLT-related large deviation bounds based on Stein's method
- Kolmogorov bounds for decomposable random variables and subgraph counting by the Stein-Tikhomirov method
- From \(p\)-Wasserstein bounds to moderate deviations
This page was built for publication: Moderate deviations for functionals over infinitely many Rademacher random variables
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6634808)
