Cramér-type moderate deviations under local dependence
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Publication:6138922
DOI10.1214/23-aap1931arXiv2112.10946OpenAlexW4389342199MaRDI QIDQ6138922
Publication date: 16 January 2024
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.10946
Stein's methodCramér-type moderate deviationlocal dependencecombinatorial central limit theoremStein identity
Cites Work
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- Self-normalized Cramér-type moderate deviations under dependence
- Self-normalized limit theorems: a survey
- On normal approximations of distributions in terms of dependency graphs
- Approximation of stable law in Wasserstein-1 distance by Stein's method
- Cramér type moderate deviation theorems for self-normalized processes
- Cramér-type large deviations for samples from a finite population
- An \(L_p\) bound for the remainder in a combinatorial central limit theorem
- A Cramér type large deviation result for Student's \(t\)-statistic
- Self-normalized Cramér-type large deviations for independent random variables.
- Large deviations for martingales via Cramér's method
- Normal approximation under local dependence.
- On normal approximation rates for certain sums of dependent random variables
- From Stein identities to moderate deviations
- On large deviations for combinatorial sums
- Palm theory, random measures and Stein couplings
- A unified approach to Stein's method for stable distributions
- Cramér-type moderate deviation of normal approximation for unbounded exchangeable pairs
- Refined Cramér-type moderate deviation theorems for general self-normalized sums with applications to dependent random variables and winsorized mean
- Central limit theorem and self-normalized Cramér-type moderate deviation for Euler-Maruyama scheme
- A refined Cramér-type moderate deviation for sums of local statistics
- Cramér-type moderate deviation theorems for nonnormal approximation
- A multivariate Berry-Esseen theorem with explicit constants
- On the error bound in a combinatorial central limit theorem
- Cramér large deviation expansions for martingales under Bernstein's condition
- Wasserstein-2 bounds in normal approximation under local dependence
- Berry-Esseen bounds for combinatorial central limit theorems and pattern occurrences, using zero and size biasing
- Normal Approximation by Stein’s Method
- An estimate of the remainder in a combinatorial central limit theorem
- A method for the derivation of limit theorems for sums of m-dependent random variables
- A short survey of Stein's method
- On Stein's Method for Infinitely Divisible Laws with Finite First Moment
- CLT-related large deviation bounds based on Stein's method
- A Combinatorial Central Limit Theorem
- Certain non-uniform rates of convergence to normality for martingale differences