Abstract
We study the structure of a GARCH$(p,q)$ sequence. We show that the conditional variance can be written as an infinite sum of the squares of the previous observations and that the representation is unique. We prove the consistency and asymptotic normality of the quasi-maximum likelihood estimator of the parameters of the GARCH$(p,q)$ sequence under mild conditions.
Citation
Istv\'an Berkes. Lajos Horv\'ath. Piotr Kokoszka. "GARCH processes: structure and estimation." Bernoulli 9 (2) 201 - 227, April 2003. https://doi.org/10.3150/bj/1068128975
Information
