Convergence in law of partial sum processes in \(p\)-variation norm
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Publication:946145
DOI10.1007/s10986-008-9001-0zbMath1226.60039OpenAlexW2020125207MaRDI QIDQ946145
Rimas Norvaiša, Alfredas Račkauskas
Publication date: 22 September 2008
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10986-008-9001-0
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)
Related Items (5)
Local depth ⋮ Uniform asymptotic normality of weighted sums of short-memory linear processes ⋮ p-Variation of CUSUM process and testing change in the mean ⋮ Computation of \(p\)-variation ⋮ Uniform asymptotic normality of self-normalized weighted sums of random variables
Cites Work
- Universal Donsker classes and metric entropy
- Fréchet differentiability, \(p\)-variation and uniform Donsker classes
- Limit processes for sequences of partial sums of regression residuals
- Differentiability of six operators on nonsmooth functions and \(p\)-variation. With the collaboration of Jinghua Qian
- The \(p\)-variation of partial sum processes and the empirical process
- Necessary and sufficient condition for the functional central limit theorem in Hölder spaces
- Speed of convergence of classical empirical processes in \(p\)-variation norm
- Weak convergence and empirical processes. With applications to statistics
- Hölderian properties of partial sums of regression residuals
- Sample functions of the Gaussian process
- An inequality of the Hölder type, connected with Stieltjes integration
- A Remark on the Space of Functions of Boundedp-Variation
- Uniform Central Limit Theorems
- Probability for Statisticians
- Real Analysis and Probability
- On Convergence of Stochastic Processes
- Heuristic Approach to the Kolmogorov-Smirnov Theorems
- On certain limit theorems of the theory of probability
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