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Central Limit Theorems for Dependent Heterogeneous Random Variables

Published online by Cambridge University Press:  11 February 2009

Robert M. de Jong
Robert M. de Jong
Affiliation:
Tilburg University
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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.

Type
Articles
Information
Econometric Theory , Volume 13 , Issue 3 , June 1997 , pp. 353 - 367
Copyright
Copyright © Cambridge University Press 1997

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References

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