REGRESSION ASYMPTOTICS USING MARTINGALE CONVERGENCE METHODS
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Publication:3632405
DOI10.1017/S0266466608080365zbMath1284.60053OpenAlexW3123380452MaRDI QIDQ3632405
Peter C. B. Phillips, Rustam Ibragimov
Publication date: 11 June 2009
Published in: Econometric Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0266466608080365
Applications of statistics to economics (62P20) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17) Martingales and classical analysis (60G46)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unit root log periodogram regression
- Limit theory for moderate deviations from a unit root
- Invariance principle for symmetric statistics
- Symmetric statistics, Poisson point processes, and multiple Wiener integrals
- Weak convergence of the variations, iterated integrals and Doléans-Dade exponentials of sequences of semimartingales
- Convergence en loi des suites d'integrales stochastiques sur l'espace \({\mathbb{D}}^ 1\) de Skorokhod. (Convergence in law of sequences of stochastic integrals on the Skorokhod space \({\mathbb{D}}^ 1)\)
- Asymptotic inference for nearly nonstationary AR(1) processes
- Limiting distributions of least squares estimates of unstable autoregressive processes
- Weak limit theorems for stochastic integrals and stochastic differential equations
- Asymptotics for linear processes
- Distribution function inequalities for martingales
- On extremal distributions and sharp \(L_p\)-bounds for sums of multilinear forms
- Weak convergence of financial markets.
- Necessary and sufficient conditions for the conditional central limit theorem
- Convergence of functionals of sums of r.v.s to local times of fractional stable motions.
- On the functional central limit theorem for stationary processes
- On Asymptotic Distributions of Estimates of Parameters of Stochastic Difference Equations
- The Limiting Distribution of the Serial Correlation Coefficient in the Explosive Case
- Uniform Limit Theory for Stationary Autoregression
- Testing for a unit root in time series regression
- Towards a unified asymptotic theory for autoregression
- Nonlinear Regressions with Integrated Time Series
- Bounds on moments of symmetric statistics
- Time Series Regression with a Unit Root
- WEAK DEPENDENCE: MODELS AND APPLICATIONS TO ECONOMETRICS
- An Asymtotic Theory of Bayesian Inference for Time Series
- COINTEGRATING SMOOTH TRANSITION REGRESSIONS