A note on the almost sure central limit theorem for weakly dependent random variables
From MaRDI portal
Publication:1344814
DOI10.1016/0167-7152(94)00059-HzbMath0820.60012OpenAlexW1977416020MaRDI QIDQ1344814
Publication date: 22 February 1995
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-7152(94)00059-h
strongly mixing sequencesalmost-sure central limit theoremalmost-sure central limit theorem for associated sequences
Related Items (58)
Limit theorems for order statistics from exponentials ⋮ Almost sure central limit theorem for self-normalized products of the some partial sums of \(\rho^-\)-mixing sequences ⋮ Self-normalized limit theorems for linear processes generated by \(\rho\)-mixing innovations ⋮ On the local times of stationary processes with conditional local limit theorems ⋮ Almost sure limit theorems on Wiener chaos: the non-central case ⋮ An Extension of the Almost Sure Central Limit Theorem for Products of Sums Under Association ⋮ Invariance principles and almost sure central limit theorem for the error variance estimator in linear models ⋮ An improved result in almost sure central limit theorem for self-normalized products of partial sums ⋮ Almost sure central limit theorem for self-normalized partial sums and maxima ⋮ An almost sure central limit theorem for the weight function sequences of NA random variables ⋮ A note on the almost sure central limit theorem for the product of partial sums of m-dependent random variables ⋮ Limit theorems for linear processes generated by ρ-mixing sequence ⋮ 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 ⋮ An almost sure central limit theorem of products of partial sums for \(\rho^-\)-mixing sequences ⋮ Further research on limit theorems for self-normalized sums ⋮ 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 central limit theory for products of sums of partial sums ⋮ A general result on almost sure central limit theorem for self-normalized sums for mixing sequences ⋮ 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 ⋮ Almost sure central limit theorems for stochastic wave equations ⋮ An improved result in almost sure central limit theory for products of partial sums with stable distribution ⋮ 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 ⋮ An almost sure central limit theorem for self-normalized products of sums of i.i.d. random variables ⋮ The almost sure central limit theorems for the maxima of sums under some new weak dependence assumptions ⋮ A note on the ASCLT for triangular arrays of random variables with an extension to U-statistics ⋮ An almost sure central limit theorem for self-normalized weighted sums ⋮ 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 ⋮ Almost sure central limit theorem of sample quantiles ⋮ On strong versions of the central limit theorem. ⋮ Almost sure convergence rates for system identification using binary, quantized, and regular sensors ⋮ Almost sure functional central limit theorems for weakly dependent sequences ⋮ A note on the almost sure central limit theorem for negatively associated fields ⋮ 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 ⋮ An almost sure central limit theorem for products of sums under association ⋮ Almost sure limit theorems for stable distributions ⋮ Almost sure central limit theorem for product of partial sums of strongly mixing random variables ⋮ An almost sure central limit theorem for self-normalized partial sums of weakly dependent random variables ⋮ A generalization of almost sure local limit theorem of uniform empirical process ⋮ A note on the almost sure central limit theorem for some dependent random variables. ⋮ An almost sure central limit theorem for products of sums of partial sums under association ⋮ An extension of almost sure central limit theorem for self-normalized products of sums for mixing sequences ⋮ Logarithmic quantile estimation for rank statistics ⋮ On some limit properties for the power series distribution ⋮ Almost sure central limit theorems in stochastic geometry ⋮ 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
Cites Work
This page was built for publication: A note on the almost sure central limit theorem for weakly dependent random variables
