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we use the previously developed Hilbert space realization theory in order provide general necessary and sufficent … the theory by analyzing a number of concrete examples. -- HJM models ; stochastic volatility ; factor models ; forward …
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In this paper we derive conditions for the conditional covariance matrix to be positive definite in a general vector ARCH model. The conditions can be easily extended to the diagonal vector GARCH model. For the general vector GARCH model, analytical expressions for the conditions in terms of the...
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