A universal result in almost sure central limit theory.
From MaRDI portal
Publication:1888771
DOI10.1016/S0304-4149(01)00078-3zbMath1053.60022OpenAlexW2053066681WikidataQ126297782 ScholiaQ126297782MaRDI QIDQ1888771
Publication date: 26 November 2004
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0304-4149(01)00078-3
Related Items (only showing first 100 items - show all)
A Monte Carlo algorithm for multiple stochastic integrals of stable processes ⋮ Almost sure central limit theorems for stochastic wave equations ⋮ Almost sure convergence for the maxima and minima of strongly dependent nonstationary multivariate Gaussian sequences ⋮ Almost sure central limit theorem for non-stationary Markov chains ⋮ An almost sure central limit theorem for the parabolic Anderson model with delta initial condition ⋮ Some optimal conditions for the ASCLT ⋮ On the almost sure central limit theorem for the elephant random walk ⋮ The law of large numbers with exceptional sets ⋮ The improved results in almost sure central limit theorem for the maxima of strongly dependent stationary Gaussian vector sequences ⋮ An improved result in almost sure local central limit theorem for the partial sums ⋮ On almost-sure versions of classical limit theorems for dynamical systems ⋮ Sur quelques algorithmes récursifs pour les probabilités numériques ⋮ Self-normalized limit theorems for linear processes generated by \(\rho\)-mixing innovations ⋮ A note on the almost sure central limit theorems for the maxima of strongly dependent nonstationary Gaussian vector sequences ⋮ On the local times of stationary processes with conditional local limit theorems ⋮ Almost sure limit theorems on Wiener chaos: the non-central case ⋮ ALMOST SURE CENTRAL LIMIT THEOREMS OF THE PARTIAL SUMS AND MAXIMA FROM COMPLETE AND INCOMPLETE SAMPLES OF STATIONARY SEQUENCES ⋮ An Extension of the Almost Sure Central Limit Theorem for Products of Sums Under Association ⋮ Almost sure versions of limit theorems for random sums of multiindex random variables ⋮ An improved result in almost sure central limit theorem for self-normalized products of partial sums ⋮ Large deviations for some logarithmic means in the case of random variables with thin tails ⋮ An Extension of Almost Sure Central Limit Theory for the Product of Partial Sums ⋮ Fluctuations of Observables in Dynamical Systems: From Limit Theorems to Concentration Inequalities ⋮ Almost sure central limit theorem for self-normalized partial sums and maxima ⋮ Distribution of eigenvalues of real symmetric palindromic Toeplitz matrices and circulant matrices ⋮ Critical behavior in almost sure central limit theory ⋮ An almost sure functional limit theorem for the domain of geometric partial attraction of semistable laws ⋮ The almost sure local central limit theorem for the product of partial sums ⋮ Some distributional limit theorems for the maxima of Gaussian vector sequences ⋮ Limit theorems for linear processes generated by ρ-mixing sequence ⋮ Almost sure central limit theorem for the hybrid process ⋮ Almost sure convergence for self-normalized products of sums of partial sums of ρ¯-mixing sequences ⋮ The almost sure local central limit theorem for the negatively associated sequences ⋮ A note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal law ⋮ A general result in almost sure central limit theory for random fields ⋮ Further research on limit theorems for self-normalized sums ⋮ Asymptotic results for weighted means of linear combinations of independent Poisson random variables ⋮ Some applications of the Archimedean copulas in the proof of the almost sure central limit theorem for ordinary maxima ⋮ A note on almost sure central limit theorem in the joint version for the maxima and sums ⋮ A note on the almost sure central limit theorems for the maxima and sums ⋮ Almost sure convergence for the maximum of nonstationary random fields ⋮ Almost sure central limit theory for products of sums of partial sums ⋮ Some limit theorems for ratios of order statistics from uniform random variables ⋮ Almost sure central limit theorem for self-normalized partial sums of \(\rho^{-}\)-mixing sequences ⋮ Almost sure central limit theorem for the products of \(U\)-statistics ⋮ An extension of almost sure central limit theorem for order statistics ⋮ The almost sure central limit theorems for the maxima of sums under some new weak dependence assumptions ⋮ Simple Monte Carlo integration with respect to Bernoulli convolutions. ⋮ Large deviation principles for sequences of logarithmically weighted means ⋮ Some asymptotic results on extremes of incomplete samples ⋮ The almost sure limit theorem for the maxima and minima of strongly dependent Gaussian vector sequences ⋮ Almost sure convergence of extreme order statistics ⋮ Limiting distributions and almost sure limit theorems for the normalized maxima of complete and incomplete samples from Gaussian sequence ⋮ Almost sure central limit theory for self-normalized products of sums of partial sums ⋮ Almost sure central limit theorem for self-normalized products of partial sums of negatively associated sequences ⋮ Almost sure local central limit theorem for sample range ⋮ On the almost sure central limit theorem for ARX processes in adaptive tracking ⋮ Almost sure limit theorems of extremes of complete and incomplete samples of stationary sequences ⋮ Almost sure limit theorems for the maxima of some strongly dependent Gaussian sequences ⋮ Almost sure limit theorems for the maximum of a class of quasi-stationary sequences ⋮ On almost sure max-limit theorems of complete and incomplete samples from stationary sequences ⋮ Almost sure functional central limit theorem for the linear random walk on the torus ⋮ On the random functional central limit theorems with almost sure convergence for subsequences ⋮ Central limit theorem and almost sure central limit theorem for the product of some partial sums ⋮ Almost sure limit theorems of mantissa type for semistable domains of attraction ⋮ Almost sure functional central limit theorems for weakly dependent sequences ⋮ A note on the almost sure central limit theorem for negatively associated fields ⋮ Tests for patterned alternatives using logarithmic quantile estimation ⋮ On the universal a.s. central limit theorem ⋮ Almost sure central limit theorems for functionals of absolutely regular processes with application to \(U\)-statistics ⋮ An almost sure central limit theorem for the stochastic heat equation ⋮ Almost sure convergence for the maxima of strongly dependent stationary Gaussian vector sequences ⋮ Almost sure versions of limit theorems for random allocations with the random number of cells ⋮ Almost sure limit theorems for stable distributions ⋮ The theta-dependence coefficient and an almost sure limit theorem for random iterative models ⋮ Almost sure central limit theorem for product of partial sums of strongly mixing random variables ⋮ On functional versions of the arc-sine law ⋮ On the convergence of moments in the almost sure central limit theorem for martingales with statistical applications ⋮ Almost sure versions of the Darling-Erdős theorem ⋮ An extension of almost sure central limit theory ⋮ Almost sure limit theorems for \(U\)-statistics ⋮ Almost sure convergence for the maximum and the sum of nonstationary Gaussian sequences ⋮ On the almost sure convergence for the joint version of maxima and minima of stationary sequences ⋮ Asymptotic results for weighted means of random variables which converge to a Dickman distribution, and some number theoretical applications ⋮ Almost sure central limit theorems on the Wiener space ⋮ Toward the history of the Saint St. Petersburg school of probability and statistics. I: Limit theorems for sums of independent random variables ⋮ Almost sure convergence of sample range ⋮ On the almost sure convergence of randomly indexed maximum of random variables ⋮ Almost sure central limit theorem for partial sums and maxima ⋮ Almost sure convergence for non-stationary random sequences ⋮ An extension of almost sure central limit theorem for the maximum of stationary Gaussian random fields ⋮ AN ALMOST SURE LIMIT THEOREM FOR THE MAXIMA OF MULTIVARIATE STATIONARY GAUSSIAN SEQUENCES ⋮ Almost sure local central limit theorem for the product of some partial sums of negatively associated sequences ⋮ An extension of almost sure central limit theorem for self-normalized products of sums for mixing sequences ⋮ Almost sure limit theorems for random sums of multiindex random variables ⋮ Logarithmic quantile estimation for rank statistics ⋮ Large deviations for weighted means of random vectors defined in terms of suitable Lévy processes ⋮ Change-point analysis using logarithmic quantile estimation ⋮ An almost sure limit theorem for random sums of independent random variables in the domain of attraction of a semistable law ⋮ Almost sure central limit theorems in stochastic geometry
Cites Work
- On almost sure max-limit theorems
- A note on the almost sure central limit theorem
- Some limit theorems in log density
- A limit theorem for the maximum of normalized sums of independent random variables
- Strong invariance principles for partial sums of independent random vectors
- Extension of the Darling and Erdős theorem on the maximum of normalized sums
- The Darling-Erdős theorem for sums of i.i.d. random variables
- On the convergence of generalized moments in almost sure central limit theorem
- An almost sure central limit theorem for independent random variables
- A remark on convergence in distribution of \(U\)-statistics
- On the almost sure (a.s.) central limit theorem for random variables with infinite variance
- On the logarithmic average of additive functionals
- Almost sure limit theorems for the St. Petersburg game
- On the almost sure central limit theorem and domains of attraction
- Weight functions and pathwise local central limit theorems
- Logarithmic averages for the local times of recurrent random walks and Lévy processes
- On Almost Sure Limit Theorems
- Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
- On Occupation Times for Markoff Processes
- Approximation Theorems of Mathematical Statistics
- On Strong Versions of the Central Limit Theorem
- An almost everywhere central limit theorem
- Invariance principles for logarithmic averages
- Almost sure invariance principles for partial sums of weakly dependent random variables
- A limit theorem related to a new class of self similar processes
- Almost Sure Convergence in Extreme Value Theory
- Generalization of a Probability Limit Theorem of Cramer
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A universal result in almost sure central limit theory.