  This paper studies the problem of discriminating two multivariate Gaussian
distributions in a distributed manner. Specifically, it characterizes in a
special case the optimal typeII error exponent as a function of the available
communication rate. As a side-result, the paper also presents the optimal
type-II error exponent of a slight generalization of the hypothesis testing
against conditional independence problem where the marginal distributions under
the two hypotheses can be different.
