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Unbounded heteroscedasticity in first-order autoregressive models and the Eicker-White asymptotic variance estimator

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  • Kourogenis, Nikolaos
  • Pittis, Nikitas

Abstract

This paper focuses on first-order autoregressive models in which the noise variance increases without bound. Although this specification violates a standard assumption made in the relevant literature, namely that of bounded noise variance, it is proved that the well-known Eicker-White estimator remains a consistent estimator of the asymptotic variance of the OLS estimator.

Suggested Citation

  • Kourogenis, Nikolaos & Pittis, Nikitas, 2010. "Unbounded heteroscedasticity in first-order autoregressive models and the Eicker-White asymptotic variance estimator," Economics Letters, Elsevier, vol. 106(2), pages 84-86, February.
    • Handle: RePEc:eee:ecolet:v:106:y:2010:i:2:p:84-86
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    1. Abdelkamel Alj & Rajae Azrak & Guy Melard, 2014. "On Conditions in Central Limit Theorems for Martingale Difference Arrays Long Version," Working Papers ECARES ECARES 2014-05, ULB -- Universite Libre de Bruxelles.

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