1. What are the contributions mentioned in the paper "Moving average stochastic volatility models with application to inflation forecast cama working paper 31/2013 may 2013" ?
The authors introduce a new class of models that has both stochastic volatility and moving average errors, where the conditional mean has a state space representation.. In an empirical application involving U. S. inflation the authors find that these moving average stochastic volatility models provide better insample fitness and out-of-sample forecast performance than the standard variants with only stochastic volatility.
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2. What have the authors stated for future works in "Moving average stochastic volatility models with application to inflation forecast cama working paper 31/2013 may 2013" ?
For future research it would be interesting to formulate multivariate versions of the proposed MA-SV models, using, e. g., factors with SV, and extend the new estimation methods to those settings.. Steps 2-5 can be implemented as in the sampler given in Section 3. 2, and here the authors focus on Step 1.. Now let ỹ = H−1ψ y and X̃ = H −1 ψ X, both of which can be computed quickly as Hψ is banded.
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3. What is the value of the conditional density p(1 |y,h,?
Since the conditional density p(ψ1 |y,h,µ) has support in (−1, 1) and is known up to a normalizing constant, it can be evaluated on a grid (and normalized so that the area under the curve is one).
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4. What is the Bayes factor in favor of the standard variant?
Since the authors are comparing nested models, the Bayes factor in favor of the model that has the MA component against the standard variant can be computed using the Savage-Dickey density ratio (Verdinelli and Wasserman, 1995):BF = p(ψ1 = 0)p(ψ1 = 0 |y) .
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