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Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models

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Kim, Sangjoon, Shepherd, Neil, Chib, Siddhartha·1998·Review of Economic Studies

Abstract

In this paper, Markov chain Monte Carlo sampling methods are exploited to provide a unified, practical likelihood-based framework for the analysis of stochastic volatility models. A highly effective method is developed that samples all the unobserved volatilities at once using an approximating offset mixture model, followed by an importance reweighting procedure. This approach is compared with several alternative methods using real data. The paper also develops simulation-based methods for filtering, likelihood evaluation and model failure diagnostics. The issue of model choice using non-nested likelihood ratios and Bayes factors is also investigated. These methods are used to compare the fit of stochastic volatility and GARCH models. All the procedures are illustrated in detail.

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Metadata

Authors
Kim, S., Shepherd, N., & Chib, S.
Venue
Review of Economic Studies
Published
1998-07
Volume
65
Issue
3
Pages
361-393
ISSN
  • 0034-6527 (ISSN-L)
  • 1467-937X
OpenAlex
W2079672223
Cited by
2,261
References
4
FWCI
75.38
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models. https://app.cochat.ai/papers/10.1111/1467-937x.00050
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Kim, S., Shepherd, N., & Chib, S. (1998). Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models. Review of Economic Studies. https://doi.org/10.1111/1467-937x.00050

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.