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The ARCH(2) model: Pseudo-maximum estimation and asymptotic results under dependent innovations

Eugene Kouassi, Patrice Takam Soh, Morvan N. Donfack and Jean Marcelin B. Bosson

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 9, 2146-2171

Abstract: This paper investigates the pseudo-maximum likelihood (PML) estimation of an ARCH(2) model when the innovations' law belongs to the quadratic exponential family. In addition, the error terms are conditionally independent, but not necessarily dependent. The consistency and asymptotic normality of the PML estimator are obtained by means of martingale techniques.

Date: 2018
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DOI: 10.1080/03610926.2017.1337142

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