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Asymptotic properties of projections with applications to stochastic regression problems

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Author Info
Lai, T. L.
Wei, C. Z.
Abstract

Almost sure convergence properties of least-squares estimates in stochastic regression models and an asymptotic theory of related Euclidean projections are developed herein. Applications to autoregressive processes and to dynamic input-output systems are also discussed.

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File URL: http://www.sciencedirect.com/science/article/B6WK9-4CRM9NW-B9/2/b4a9bf22f28fd09fa6f89399fbd35749
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Publisher Info
Article provided by Elsevier in its journal Journal of Multivariate Analysis.

Volume (Year): 12 (1982)
Issue (Month): 3 (September)
Pages: 346-370
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Handle: RePEc:eee:jmvana:v:12:y:1982:i:3:p:346-370

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Related research
Keywords: Stochastic regressors least squares estimates projections strong consistency dynamic models autoregressive processes minimum eigenvalue martingales;

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. D. Poskitt & H. L"Utkepohl, . "Consistent Specification of Cointegrated Autoregressive Moving-Average Systems," Sonderforschungsbereich 373 1995-54, Humboldt Universitaet Berlin.
  2. Peter C.B. Phillips, 2008. "Unit Root Model Selection," Cowles Foundation Discussion Papers 1653, Cowles Foundation, Yale University. [Downloadable!]
  3. D.S. Poskitt, 2004. "Some Results on the Identification and Estimation of Vector ARMAX Processes," Monash Econometrics and Business Statistics Working Papers 12/04, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
  4. Ching-Kang Ing & Ching-Zong Wei, 2005. "A maximal moment inequality for long range dependent time series with applications to estimation and model selection," Econometrics 0508009, EconWPA. [Downloadable!]
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This page was last updated on 2009-12-3.


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