Complete convergence of bootstrapped means and moments of the supremum of normed bootstrapped sums
From MaRDI portal
Publication:4702155
DOI10.1080/07362999908809635zbMath1069.62528OpenAlexW2042444089MaRDI QIDQ4702155
Andrew Rosalsky, De Li Li, S. Ejaz Ahmed
Publication date: 1999
Published in: Stochastic Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/07362999908809635
Asymptotic properties of nonparametric inference (62G20) Nonparametric statistical resampling methods (62G09)
Related Items (6)
A central limit theorem for bootstrap sample sums from non-i.i.d. models ⋮ General Weak Laws of Large Numbers for Bootstrap Sample Means ⋮ Rates in the complete convergence of bootstrap means. ⋮ A large deviation principle for bootstrapped sample means ⋮ Almost sure lim sup behavior of bootstrapped means with applications to pairwise i. i. d. sequences and stationary ergodic sequences ⋮ Asymptotic probability for the bootstrapped means deviations from the sample mean
Cites Work
- Strong law for the bootstrap
- On the integrability of \(\sup | S_ n| /n^{1/r}\) for \(1<r<2\)
- On moment conditions for the supremum of normed sums
- Necessary conditions for the bootstrap of the mean
- A note on moments of the maximum of Cesàro summation
- Some asymptotic theory for the bootstrap
- On the asymptotic accuracy of Efron's bootstrap
- On the law of large numbers for the bootstrap mean
- On stopping rules and the expected supremum of \(S_n/a_n\) and \(| S_n|/a_n\)
- Bootstrap methods: another look at the jackknife
- Almost sure convergence of bootstrapped means and \(U\)-statistics
- Complete convergence and almost sure convergence of weighted sums of random variables
- On the unconditional strong law of large numbers for the bootstrap mean
- An elementary proof of the strong law of large numbers
- Moments of the maximum of normed partial sums of random variables with multidimensional indices
- Successive Conditional Expectations of an Integrable Function
- On Moments of the Maximum of Normed Partial Sums
- Stopping rules for S n/n, and the Class L log L
- Completion of a Dominated Ergodic Theorem
- On moments of the supremum of normed weighted averages
- On the Law of the Iterated Logarithm
This page was built for publication: Complete convergence of bootstrapped means and moments of the supremum of normed bootstrapped sums
