ARCH模型的Whittle估计

WHITTLE ESTIMATION OF ARCH MODELS

Econometric Theory · 2001
被引 12
人大 A-ABS 4

中文导读

研究了一类参数ARCH模型的Whittle估计,证明基于平方观测的估计量具有相合性和渐近正态性,适用于平方序列短记忆自相关的情形。

Abstract

For a class of parametric ARCH models, Whittle estimation based on squared observations is shown to be [square root of n]-consistent and asymptotically normal. Our conditions require the squares to have short memory autocorrelation, by comparison with the work of Zaffaroni (1999, “Gaussian Inference on Certain Long-Range Dependent Volatility Models,” Preprint), who established the same properties on the basis of an alternative class of models with martingale difference levels and long memory autocorrelated squares.

Whittle估计ARCH模型平方观测渐近正态性