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Positivity Conditions for a Bivariate Autoregressive Volatility Specification
Authors:Gourieroux  C
Abstract:We derive necessary and sufficient conditions for the positivedefiniteness of the predicted volatility matrix in a bivariateautoregressive volatility specification. These nonlinear inequalityrestrictions have strong implications in terms of causalitybetween volatilities and covolatilities.
Keywords:GARCH model  nonlinear causality  stochastic volatility  Wishart process
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