RT Report T1 The Fiction of Full BEKK A1 Chang, Chia-Lin A1 McAleer, Michael AB The purpose of the paper is to show that univariate GARCH is not a special case of multivariate GARCH, specifically the Full BEKK model, except under parametric restrictions on the off-diagonal elements of the random coefficient autoregressive coefficient matrix, provides the regularity conditions that arise from the underlying random coefficient autoregressive process, and for which the (quasi-) maximum likelihood estimates have valid asymptotic properties under the appropriate parametric restrictions. The paper provides a discussion of the stochastic processes, regularity conditions, and asymptotic properties of univariate and multivariate GARCH models. It is shown that the Full BEKK model, which in practice is estimated almost exclusively, has no underlying stochastic process, regularity conditions, or asymptotic properties. PB Facultad de Ciencias Económicas y Empresariales. Instituto Complutense de Análisis Económico (ICAE) SN 2341-2356 YR 2017 FD 2017 LK https://hdl.handle.net/20.500.14352/22877 UL https://hdl.handle.net/20.500.14352/22877 LA eng DS Docta Complutense RD 4 abr 2025