Uniform moment bounds of Fisher's information with applications to time series
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Publication:638801
DOI10.1214/10-AOS861zbMath1220.62088arXiv1211.4962MaRDI QIDQ638801
Ching-Kang Ing, Ngai Hang Chan
Publication date: 14 September 2011
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.4962
least squares estimatesFisher's information matrixmean squared prediction errorsstochastic regression modelsuniform moment bounds
Asymptotic properties of parametric estimators (62F12) Estimation in multivariate analysis (62H12) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) General nonlinear regression (62J02)
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Cites Work
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- Adaptive prediction by least squares predictors in stochastic regression models with applications to time series
- Asymptotically efficient selection of the order of the model for estimating parameters of a linear process
- On predictive least squares principles
- Distribution function inequalities for martingales
- Time series regression with long-range dependence
- Strong consistency in nonlinear stochastic regression models.
- AIC, overfitting principles, and the boundedness of moments of inverse matrices for vector autotregressions and related models.
- Asymptotic properties of nonlinear least squares estimates in stochastic regression models
- Order selection for same-realization predictions in autoregressive processes
- Statistical predictor identification
- Discussion, Emphasizing the Connection between Analysis of Variance and Spectrum Analysis
- Properties of Predictors in Misspecified Autoregressive Time Series Models
- Consistency in Nonlinear Econometric Models: A Generic Uniform Law of Large Numbers
- Properties of Predictors for Autoregressive Time Series
- Predictions of multivariate autoregressive-moving average models
- Semimartingales and Subharmonic Functions
- Least squares estimates in stochastic regression models with applications to identification and control of dynamic systems