Convergence of weighted partial sums when the limiting distribution is not necessarily Radon
From MaRDI portal
Publication:1593627
DOI10.1016/S0304-4149(98)00100-8zbMath0964.60037OpenAlexW1971242091WikidataQ127753677 ScholiaQ127753677MaRDI QIDQ1593627
Barbara Szyszkowicz, Miklós Csörgő, Rimas Norvaiša
Publication date: 17 January 2001
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0304-4149(98)00100-8
Related Items
Limsup results and LIL for finite dimensional Gaussian random fields, A glimpse of the impact of pál erdős on probability and statistics, On weighted approximations in \(D[0,1\) with applications to self-normalized partial sum processes], Asymptotics of Studentized \(U\)-type processes for changepoint problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong approximation for set-indexed partial sum processes via KMT constructions. I
- Weighted empirical and quantile processes
- Strong invariance principles for partial sums of independent random vectors
- Extensions of results of Komlós, Major, and Tusnády to the multivariate case
- Convergence of distributions of functionals of processes defined on the whole axis
- An improvement of Strassen's invariance principle
- Strong approximation theorems for independent random variables and their applications
- The central limit theorem for stochastic processes
- Convergence of distributions of functionals of random sequences and processes defined on the real line
- Weak convergence of probabilities on nonseparable metric spaces and empirical measures on Euclidean spaces
- Sample functions of the Gaussian process
- On invariance principles with limit processes satisfying strong laws
- Remarks on Convergence of Random Processes in Non-Separable Metric Spaces and on the Non-Existence of a Borel Measure for Processes in $C(0,\infty )$
- An approximation of partial sums of independent RV's, and the sample DF. II
- The approximation of partial sums of independent RV's
- [https://portal.mardi4nfdi.de/wiki/Publication:5556859 Verteilungs-invarianzprinzipien f�r das starke gesetz der gro\en zahl]
- Convergence of stochastic processes