Almost sure central limit theorems under minimal conditions
From MaRDI portal
Publication:1382196
DOI10.1016/S0167-7152(97)00101-6zbMath0928.60019OpenAlexW2013671929MaRDI QIDQ1382196
Lajos Horváth, István Berkes, Endre Csáki
Publication date: 9 January 2000
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-7152(97)00101-6
Related Items
The logarithmic average of sample extremes is asymptotically normal. ⋮ Almost sure central limit theorems for random functions ⋮ Almost sure central limit theorem for the products of \(U\)-statistics ⋮ Strong approximation for sums of asymptotically negatively dependent Gaussian sequences with applications ⋮ Some optimal conditions for the ASCLT ⋮ Almost sure convergence of extreme order statistics ⋮ Characterization of the convergence of weighted averages of sequences and functions ⋮ A note on the almost sure central limit theorem for the product of some partial sums ⋮ Almost sure central limit theorems for heavily trimmed sums ⋮ Almost sure central limit theorem for products of sums of partial sums ⋮ Almost sure central limit theorem for partial sums and maxima ⋮ AN ALMOST SURE LIMIT THEOREM FOR THE MAXIMA OF MULTIVARIATE STATIONARY GAUSSIAN SEQUENCES ⋮ An extension of the almost sure max-limit theorem ⋮ On the convergence of generalized moments in almost sure central limit theorem
Cites Work
- A note on the almost sure central limit theorem
- Strong invariance principles for partial sums of independent random vectors
- A theorem of Feller revisited
- A strong approximation for logarithmic averages of partial sums of random variables
- The law of the iterated logarithm for identically distributed random variables
- On Strong Versions of the Central Limit Theorem
- An almost everywhere central limit theorem
- CONVERGENCE RATES FOR THE CENTRAL LIMIT THEOREM
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item