Asymptotics for random functions moderated by dependent noise
From MaRDI portal
Publication:329063
DOI10.1007/s11203-015-9130-0zbMath1350.60035OpenAlexW2210895596MaRDI QIDQ329063
Publication date: 21 October 2016
Published in: Statistical Inference for Stochastic Processes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11203-015-9130-0
copulatime serieslong memoryempirical processlimit theoremschange-pointfunctional datamulti-parameter stochastic processes
Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Stopping times; optimal stopping problems; gambling theory (60G40) Sequential statistical analysis (62L10) Functional limit theorems; invariance principles (60F17)
Related Items
Decoupling change-point detection based on characteristic functions: methodology, asymptotics, subsampling and application, Discussion on “An effective method for the explicit solution of sequential problems on the real line” by Sören Christensen
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong approximation results for the empirical process of stationary sequences
- Decoupling change-point detection based on characteristic functions: methodology, asymptotics, subsampling and application
- Inference for functional data with applications
- Testing for strong serial correlation and dynamic conditional heteroskedasticity in multiple regression
- The empirical process of some long-range dependent sequences with an application to U-statistics
- Asymptotic results for the empirical process of stationary sequences
- Weak limit theorems for stochastic integrals and stochastic differential equations
- Weak convergence of dependent empirical measures with application to subsampling in function spaces
- Invariant tests for symmetry about an unspecified point based on the empirical characteristic function.
- Linear processes in function spaces. Theory and applications
- Stochastic-Process Limits
- Concrete Functional Calculus
- Tests for the multivariatek-sample problem based on the empirical characteristic function
- Almost sure approximation theorems for the multivariate empirical process
- Some Useful Functions for Functional Limit Theorems
- Limit theorems for sums of weakly dependent Banach space valued random variables
- Testing for long memory in the presence of a general trend
- Wiener Integrals with Respect to the Hermite Process and a Non-Central Limit Theorem
- Modeling and Forecasting Realized Volatility
- An intrinsic time for non-stationary finite markov chains
- Weak Convergence of Weighted Empirical Cumulatives Based on Ranks