Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models

S-Tier
Journal: Review of Economic Studies
Year: 1998
Volume: 65
Issue: 3
Pages: 361-393

Authors (3)

Sangjoon Kim (not in RePEc) Neil Shephard (Harvard University) Siddhartha Chib (not in RePEc)

Score contribution per author:

2.681 = (α=2.01 / 3 authors) × 4.0x S-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

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.

Technical Details

RePEc Handle
repec:oup:restud:v:65:y:1998:i:3:p:361-393.
Journal Field
General
Author Count
3
Added to Database
2026-01-29