On Hilbertian stochastic processes: convergence in the central limit theorem
From MaRDI portal
Publication:6634319
DOI10.17654/0972086324018MaRDI QIDQ6634319
Victorien F. Konane, Wahabo Baguian, Claude Yameogo
Publication date: 7 November 2024
Published in: Far East Journal of Theoretical Statistics (Search for Journal in Brave)
rate of convergenceHilbert spacescharacteristic functionscentral limit theoremFourier-Stieltjes transformcovariance operator
Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Rate of convergence, degree of approximation (41A25) Hilbert spaces of continuous, differentiable or analytic functions (46E20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Berry-Esseen's central limit theorem for non-causal linear processes in Hilbert space
- Rates of convergence for minimal distances in the central limit theorem under projective criteria
- Asymptotic expansions in the central limit theorem in Hilbert space
- Asymptotic expansions for distributions of sums of independent random elements of a Hilbert space
- On the rate of convergence in the central limit theorem in Banach spaces
- Sharp conditions for the CLT of linear processes in a Hilbert space
- Optimal bounds in non-Gaussian limit theorems for \(U\)-statistics
- Optimal rates of convergence in the CLT for quadratic forms
- Rate of convergence for Hilbert space valued processes
- The accuracy of the Gaussian approximation to the sum of independent variates.
- Some Approximation Problems in Statistics and Probability
- On the Accuracy of Normal Approximation of the Probability of Hitting a Ball of Sums of Weakly Dependent Hilbert Space Valued Random Variables I
- On the Accuracy of Normal Approximation of the Probability of Hitting a Ball
- On the Accuracy of Normal Approximation in Banach Spaces
- On Berry-Esseen type bounds for m-dependent random variables valued in certain banach spaces
- On the Rate of Convergence in the Central Limit Theorem in Certain Banach Spaces
- Asymptotic expansions for bivariate von Mises functionals
- A Regular Estimate of the Accuracy of Normal Approximation in Hilbert Space
This page was built for publication: On Hilbertian stochastic processes: convergence in the central limit theorem