We provide a closed-form estimator based on the VARMA representation for the unrestricted multivariate GARCH(1,1) model. We show that the GARCH parameters can be derived analytically, using the autocovariances of the observed data, applying simple linear algebra tools. The resulting estimator is...

Multivariate partially linear models are generalizations of univariate partially linear models. In the literature, some estimators of treatment effects and nonparametric components have been proposed. In this note, the estimator of the covariance matrix in multivariate partially linear models is...

In this paper, we propose a framework of outer product least squares for covariance (COPLS) to directly estimate covariance in the growth curve model based on an analogy, between the outer product of a data vector and covariance of a random vector, and the ordinary least squares technique. The...