A note on the almost sure central limit theorem

From MaRDI portal

Publication:582676

Jump to:navigation, search

DOI10.1016/0167-7152(90)90056-DzbMath0691.60016MaRDI QIDQ582676

Walter Philipp, Michael T. Lacey

Publication date: 1990

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

almost sure central limit theorem summation methods almost sure invariance principles weakly dependent random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17) Special methods of summability (40G99)

Related Items

The law of large numbers with exceptional sets, On almost sure local and global central limit theorems, An improved result in almost sure local central limit theorem for the partial sums, Limit theorems for order statistics from exponentials, On the almost sure (a.s.) central limit theorem for random variables with infinite variance, The logarithmic average of sample extremes is asymptotically normal., On almost-sure versions of classical limit theorems for dynamical systems, A universal result in almost sure central limit theory., A note on the almost sure central limit theorem for weakly dependent random variables, On the local times of stationary processes with conditional local limit theorems, Almost sure limit theorems on Wiener chaos: the non-central case, On the almost sure central limit theorem and domains of attraction, On the logarithmic average of additive functionals, Invariance principles and almost sure central limit theorem for the error variance estimator in linear models, Bernoulli coding map and almost sure invariance principle for endomorphisms of \(\mathbb P^k\), 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, Critical behavior in almost sure central limit theory, An almost sure functional limit theorem for the domain of geometric partial attraction of semistable laws, On almost sure limit theorems for positively dependent random variables, Between local and global logarithmic averages, Weight functions and pathwise local central limit theorems, Logarithmic averages for the local times of recurrent random walks and Lévy processes, The almost sure local central limit theorem for the product of partial sums, An almost sure central limit theorem for the weight function sequences of NA random variables, Some distributional limit theorems for the maxima of Gaussian vector sequences, A coupling approach to random circle maps expanding on the average, A strong approximation for logarithmic averages of partial sums of random variables, Almost sure central limit theorems for random functions, 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, Some applications of the Archimedean copulas in the proof of the almost sure central limit theorem for ordinary maxima, On the logarithmic average of iterated processes, Almost sure central limit theorems under minimal conditions, A generalization of the Strassen converse, A note on the finite-dimensional distributions of dispersing billiard processes, A note on almost sure central limit theorem in the joint version for the maxima and sums, On the pointwise central limit theorem and mixtures of stable distributions, 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, A result on the almost sure convergence for the \(R/S\) statistic, An almost sure central limit theorem for self-normalized partial sums, The almost sure central limit theorems for the maxima of sums under some new weak dependence assumptions, Dynamical attraction to stable processes, Large deviation principles for sequences of logarithmically weighted means, Almost sure convergence of extreme order statistics, Almost sure central limit theory for self-normalized products of sums of partial sums, A vector-valued almost sure invariance principle for Sinai billiards with random scatterers, On almost sure max-limit theorems, 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, Strong approximations for nonconventional sums and almost sure limit theorems, On strong versions of the central limit theorem., Almost sure limit theorems for the maximum of a class of quasi-stationary sequences, Almost sure convergence rates for system identification using binary, quantized, and regular sensors, Almost sure invariance principles via martingale approximation, On almost sure noncentral limit theorems, 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, 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, Functional limit theorems for Lévy processes and their almost-sure versions, Temporal distributional limit theorems for dynamical systems, Normal approximation and almost sure central limit theorem for non-symmetric Rademacher functionals, 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, Upper-lower class tests and frequency results along subsequences, A note on the almost sure limit theorem for the product of partial sums, An extension of almost sure central limit theory, Almost sure limit theorems for \(U\)-statistics, On the almost sure convergence for the joint version of maxima and minima of stationary sequences, Almost sure central limit theorems for heavily trimmed sums, 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, Almost sure convergence of sample range, The principle of large deviations for almost everywhere central limit theorem, Logarithmic averages of stable random variables are asymptotically normal, Almost sure limit theorems for the St. Petersburg game, Almost sure convergence for non-stationary random sequences, An almost sure central limit theorem for stochastic approximation algorithms, A note on the almost sure central limit theorem for some dependent 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, Tercentennial anniversary of Bernoulli’s law of large numbers, A law of the iterated logarithm for stochastic approximation procedures in \(d\)-dimensional Euclidean space., On large deviations for some sequences of weighted means of Gaussian processes, On the convergence of generalized moments in almost sure central limit theorem, Annealed and quenched limit theorems for random expanding dynamical systems, Almost sure versions of distributional limit theorems for certain order statistics., Large deviation principle for additive functionals of semi-Markov processes, Sur quelques algorithmes récursifs pour les probabilités numériques, Strong law of large numbers under moment restrictions in sublinear expectation spaces, Fluctuations of Observables in Dynamical Systems: From Limit Theorems to Concentration Inequalities, The Intersective ASCLT, A note on the almost sure central limit theorem for the product of partial sums of m-dependent random variables, Almost sure convergence for self-normalized products of sums of partial sums of ρ¯-mixing sequences, On the almost sure limit theorem for the joint version of maxima and minima of non-stationary random fields, Asymptotic results for weighted means of linear combinations of independent Poisson random variables, Invariance principles for logarithmic averages, Almost sure central limit theorems for stochastic wave equations, 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, Almost sure central limit theorems for the maxima of randomly chosen random variables, Classical and almost sure local limit theorems, Some optimal conditions for the ASCLT, On the almost sure central limit theorem for ARX processes in adaptive tracking, On the random functional central limit theorems with almost sure convergence for subsequences, Large Deviations via Almost Sure CLT for Functionals of Markov Processes, On Weak Convergence in Dynamical Systems to Self-Similar Processes with Spectral Representation, An almost sure central limit theorem for self-normalized partial sums of weakly dependent random variables, On the large deviation principle for the almost sure CLT., Some theorems related to almost sure convergence of orthogonal series, On the Almost Sure Central Limit Theorem for Vector Martingales: Convergence of Moments and Statistical Applications, On the almost sure convergence of randomly indexed maximum of random variables, Almost sure central limit theorem for partial sums and maxima, 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, Limit Theorems for Logarithmic Averages of Random Vectors, Almost sure central limit theorem for self-normalized partial sums of negatively associated random variables, A general result of the almost sure central limit theorem of uniform empirical process, Almost sure central limit theorems for m-dependent random variables, On the almost sure central limit theorem for the elephant random walk

Cites Work

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:582676&oldid=12474548"