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Central Limit Theorems for Dependent Heterogeneous Random Variables

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Author Info
de Jong, Robert M.
Abstract

This paper presents central limit theorems for triangular arrays of mixingale and near-epoch-dependent random variables. The central limit theorem for near-epoch-dependent random variables improves results from the literature in various respects. The approach is to define a suitable Bernstein blocking scheme and apply a martingale difference central limit theorem, which in combination with weak dependence conditions renders the result. The most important application of this central limit theorem is the improvement of the conditions that have to be imposed for asymptotic normality of minimization estimators.

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File URL: http://journals.cambridge.org/abstract_S0266466600005843
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Publisher Info
Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 13 (1997)
Issue (Month): 03 (June)
Pages: 353-367
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:cup:etheor:v:13:y:1997:i:03:p:353-367_00

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  1. 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!]
  2. Robert F. Engle & Aaron D. Smith, 1998. "Stochastic Permanent Breaks," University of California at San Diego, Economics Working Paper Series 98-03, Department of Economics, UC San Diego. [Downloadable!]
    Other versions:
  3. Tiemen Woutersen & Robert M. de Jong, 2004. "Dynamic time series binary choice," Econometric Society 2004 North American Summer Meetings 365, Econometric Society. [Downloadable!]
    Other versions:
  4. Jonathan Hill, 2006. "On Functional Central Limit Theorems for Dependent, Heterogeneous Tail Arrays with Applications to Tail Index and Tail Dependence Estimators," Working Papers 0607, Florida International University, Department of Economics. [Downloadable!]
  5. Jonathan B. Hill, 2005. "On Tail Index Estimation Using Dependent,Heterogenous Data," Working Papers 0512, Florida International University, Department of Economics. [Downloadable!]
  6. Jonathan B. Hill, 2005. "On Tail Index Estimation for Dependent, Heterogenous Data," Econometrics 0505005, EconWPA, revised 27 May 2005. [Downloadable!]
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