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Ancillarity-sufficiency interweaving strategy (ASIS) for boosting MCMC estimation of stochastic volatility models

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Kastner, Gregor, Frühwirth-Schnatter, Sylvia·2014·Computational Statistics & Data Analysis

Abstract

Bayesian inference for stochastic volatility models using MCMC methods highly depends on actual parameter values in terms of sampling efficiency. While draws from the posterior utilizing the standard centered parameterization break down when the volatility of volatility parameter in the latent state equation is small, non-centered versions of the model show deficiencies for highly persistent latent variable series. The novel approach of ancillarity-sufficiency interweaving has recently been shown to aid in overcoming these issues for a broad class of multilevel models. It is demonstrated how such an interweaving strategy can be applied to stochastic volatility models in order to greatly improve sampling efficiency for all parameters and throughout the entire parameter range. Moreover, this method of ''combining best of different worlds'' allows for inference for parameter constellations that have previously been infeasible to estimate without the need to select a particular parameterization beforehand.

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Metadata

Authors
Kastner, G., & Frühwirth-Schnatter, S.
Venue
Computational Statistics & Data Analysis
Publisher
Elsevier BV
Published
2014-08
Volume
76
Pages
408-423
ISSN
0167-9473 (ISSN-L)
OpenAlex
W2053974175
Cited by
287
References
29
FWCI
12.62
Type
journal article
Language
en
Open access
green

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Kastner, G., & Frühwirth-Schnatter, S. (2014). Ancillarity-sufficiency interweaving strategy (ASIS) for boosting MCMC estimation of stochastic volatility models. Computational Statistics & Data Analysis. https://doi.org/10.1016/j.csda.2013.01.002

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