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Strong Laws for Dependent Heterogeneous Processes

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Author Info
Hansen, Bruce E.

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Abstract

This paper presents maximal inequalities and strong law of large numbers for weakly dependent heterogeneous random variables. Specifically considered are Lr mixingales for r 1, strong mixing sequences, and near epoch dependent (NED) sequences. We provide the first strong law for Lr-bounded Lr mixingales and NED sequences for 1 r 2. The strong laws presented for -mixing sequences are less restrictive than the laws of McLeish [8].

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Publisher Info
Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 7 (1991)
Issue (Month): 02 (June)
Pages: 213-221
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Handle: RePEc:cup:etheor:v:7:y:1991:i:02:p:213-221_00

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  1. repec:att:wimass:19199827 is not listed on IDEAS
  2. Guglielmo Maria Caporale & Christos Ntantamis & Theologos Pantelidis & Nikitas Pittis, 2004. "The Bds Test As A Test For The Adequacy Of A Garch(1,1) Specification: A Monte Carlo Study," Economics and Finance Discussion Papers 04-14, Economics and Finance Section, School of Social Sciences, Brunel University. [Downloadable!]
    Other versions:
  3. Robert M. De Jong, 1998. "Weak Laws of Large Numbers for Dependent Random Variables," Annales d'Economie et de Statistique, ADRES, issue 51, pages 10, Juillet-S. [Downloadable!]
  4. Sílvia Gonçalves & Halbert White, 2001. "The Bootstrap of the Mean for Dependent Heterogeneous Arrays," CIRANO Working Papers 2001s-19, CIRANO. [Downloadable!]
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  5. Bruce E. Hansen, 1996. "Sample Splitting and Threshold Estimation," Boston College Working Papers in Economics 319., Boston College Department of Economics, revised 12 May 1998. [Downloadable!]
    Other versions:
  6. Silvia Goncalves & Halbert White, 2000. "Maximum Likelihood and the Bootstrap for Nonlinear Dynamic Models," University of California at San Diego, Economics Working Paper Series 2000-32, Department of Economics, UC San Diego. [Downloadable!]
    Other versions:
  7. GONÇALVES, Silvia & WHITE, Halbert, 2001. "The Bootstrap of Mean for Dependent Heterogeneous Arrays," Cahiers de recherche 2001-19, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
    Other versions:
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