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An Inequality for Vector-Valued Martingales and Its Applications

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  • Bai, J.

Abstract

In this paper, we derive a general Hajek-Renyi type inequality for vector-valued martingales. Several well known inequalities are shown to be special cases of this general inequality. We also derive a similar inequality for dependent sequences. We then apply the inequality to the problem of strong consistency of least squares estimators for multiple regressions.

Suggested Citation

  • Bai, J., 1996. "An Inequality for Vector-Valued Martingales and Its Applications," Working papers 96-16, Massachusetts Institute of Technology (MIT), Department of Economics.
  • Handle: RePEc:mit:worpap:96-16
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    References listed on IDEAS

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    Cited by:

    1. Badi H. Baltagi & Chihwa Kao & Fa Wang, 2016. "The Identification and Estimation of a Large Factor Model with Structural Instability," Center for Policy Research Working Papers 194, Center for Policy Research, Maxwell School, Syracuse University.
    2. Baltagi, Badi H. & Kao, Chihwa & Wang, Fa, 2017. "Identification and estimation of a large factor model with structural instability," Journal of Econometrics, Elsevier, vol. 197(1), pages 87-100.

    More about this item

    Keywords

    MATHEMATICS; ECONOMETRICS; EVALUATION;

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other

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