Numerically Accelerated Importance Sampling for Nonlinear Non-Gaussian State-Space Models

Siem Jan Koopman, Andre Lucas and Marcel Scharth

Journal of Business & Economic Statistics, 2015, vol. 33, issue 1, 114-127

Abstract: We propose a general likelihood evaluation method for nonlinear non-Gaussian state-space models using the simulation-based method of efficient importance sampling. We minimize the simulation effort by replacing some key steps of the likelihood estimation procedure by numerical integration. We refer to this method as numerically accelerated importance sampling. We show that the likelihood function for models with a high-dimensional state vector and a low-dimensional signal can be evaluated more efficiently using the new method. We report many efficiency gains in an extensive Monte Carlo study as well as in an empirical application using a stochastic volatility model for U.S. stock returns with multiple volatility factors. Supplementary materials for this article are available online.

Date: 2015
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Citations: View citations in EconPapers (27)

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Working Paper: Numerically Accelerated Importance Sampling for Nonlinear Non-Gaussian State Space Models (2012)
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Persistent link: https://EconPapers.repec.org/RePEc:taf:jnlbes:v:33:y:2015:i:1:p:114-127

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DOI: 10.1080/07350015.2014.925807

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