4.3 Article

Asymptotic normality of the MLE in the level-effect ARCH model

Journal

STATISTICAL PAPERS
Volume 62, Issue 1, Pages 117-135

Publisher

SPRINGER
DOI: 10.1007/s00362-019-01086-y

Keywords

Level-ARCH; Asymptotic normality; Asymptotic theory; Consistency; Stationarity; Maximum likelihood estimation

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The study demonstrates the consistency and asymptotic normality of the maximum likelihood estimator in the level-effect ARCH model, as well as its applicability in finite samples through simulations.
We establish consistency and asymptotic normality of the maximum likelihood estimator in the level-effect ARCH model of Chan et al. (J Financ 47(3):1209-1227, 1992). Furthermore, it is shown by simulations that the asymptotic properties also apply in finite samples.

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