MCMC Bayesian estimation of a Skew-GED stochastic volatility model

Studies in Nonlinear Dynamics and Econometrics

Volumn 8, Issue 2, 2004, Pages

  Cappuccio, Nunzio ^a   Raggi, Davide ^a,b   Lubian, Diego ^b  

^a UNIVERSITY OF PADOVA   (Italy)

^b UNIVERSITY OF VERONA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 14844366643     PISSN: 15583708     EISSN: 10811826     Source Type: Journal    
DOI: 10.2202/1558-3708.1211     Document Type: Conference Paper

References (38)

1. Andersen, T. G. (1996), 'Return volatility and trading volume: an information flow interpretation of stochastic volatility', The Journal of Finance 51, 169-204.
2. Azzalini, A. (1985), 'A class of distributions which includes the normal ones', Scandinavian Journal of Statistics 12, 171-178.
3. Azzalini, Adelchi (1986), 'Further results on a class of distributions which includes the normal ones', Statistica 46, 199-208.
4. Cappuccio, N., D. Lubian and D. Raggi (2001), Bayesian estimation of a stochastic volatility model with Skew-GED errors, in C. Provasi, ed., 'Metodi complessi e metodi computazionali intensivi per la stima e la previsione', CLEUP, pp. 313-318.
5. Carlin, B.P., N.G. Polson and D.S. Stoffer (1992), 'Monte Carlo approach to nonnormal and nonlinear state-space modeling', Journal of the American Statistical Association 87, 493-500.
6. Chib, S. and E. Greenberg (1995), 'Understanding the Metropolis-Hastings algorithm', The American Statistician 49, 327-335.
7. Chib, S. and E. Greenberg (1996), 'Markov Chain Monte Carlo simulation methods in econometrics', Econometric Theory 12, 409-431.
8. Chib, S., F. Nardari and N. Shephard (1998), Markov Chain Monte Carlo methods for generalized stochastic volatility models, Working paper, Oxford University, Nuffield College.
9. Chunhachinda, P., K. Dandapani, S. Hamid and A. J. Prakash (1997), 'Portfolio selection and skewness: evidence from international stock markets', Journal of Banking and Finance 21, 143-167.
10. Corrado, C. J. and T. Su (1997), Implied volatility skews and stock index skewness and kurtosis implied by S&P500 index option prices, Working paper, University of Missouri - Columbia.
11. Engle, R. F. (1982), 'Autoregressive conditional heteroskedasticity with estimates of the variance of U.K. inflation', Econometrica 50, 987-1008.
12. Fama, E. (1965), 'Portfolio analysis in a stable paretian market', Management Science 11, 404-419.
13. Forbes, C. S., G. M. Martin and J. Wright (2002), Bayesian estimation of a stochastic volatility model using option and spot prices, Working paper, Monash University - Department of Econometrics and Business Statistics.
14. Ghysels, E., A. C. Harvey and E. Renault (1996), Stochastic volatility, in C. R. Rao and G. S. Maddala, eds, 'Statistical Methods in Finance', North-Holland, pp. 119-191.
15. Gilks, W., S. Richardson and D. J. Spiegelhalter, eds (1995), Markon Chain Monte Carlo in practice, Chapman & Hall.
16. Gilks, W.R., N.G. Best and K.K.C. Tan (1995), 'Adaptive rejection Metropolis sampling within Gibbs sampling', Applied Statistic 44, 455-472.
17. Gilks, W.R. and P. Wild (1992), 'Adaptive rejection sampling for Gibbs sampling', Applied Statistic 41, 337-448.
18. Goria, Sarah (1998), Uso di generalizzazioni della distribuzione normale nei modelli per serie storiche, PhD thesis, Facoltà di Sc. Statistiche, Università di Padova.
19. Hastings, W.K. (1970), 'Monte Carlo sampling methods using Markov Chains and their applications', Biometrika 57, 97-109.
20. Hollander, M. and D. A. Wolfe (1999), Nonparametric Statistical Methods, Probability and Statistics, 2nd edn, Wiley.
21. Jacquier, E., N. G. Polson and P. Rossi (1994), 'Bayesian analysis of stochastic volatility models', Journal of Business & Economic Statistics 12, 371-417.
22. Jacquier, E., N. G. Polson and P. Rossi (1999), Models and priors for multivariate stochastic volatility, Working paper, CIRANO, forthcoming in Journal of Econometrics.
23. Jeffreys, H. (1961), Theory of probability, Oxford University Press, Oxford.
24. Kass, R.E. and A. E. Raftery (1995), 'Bayes factors', Journal of the American Statistical Association 90, 773-795.
25. Kim, S., N. G. Shephard and S. Chib (1998), 'Stochastic volatility: likelihood inference and comparison with ARCH models', Review of Economic Studies 65, 361-393.
26. Liesenfeld, R. and R.C. Jung (2000), 'Stochastic volatility models: conditional normality versus heavy-tailed distributions', Journal of Applied Economietrics 15, 137-160.
27. Mandelbrot, B. (1963), 'The variation of certain speculative prices', Journal of Business 36, 314-419.
28. Metropolis, N., A. W. Rosenbluth, M.N. Rosenbluth, A. H. Teller and E. Teller (1953), 'Equations of state calculations by fast computing machines', Journal of Chemical Physics 21, 1087-1091.
29. Mira, A. (2001), 'On Metropolis-Hastings algorithms with delayed rejections', Metron 59, 231-241.
30. Mittnik, S. and M. S. Paolella (2000), 'Conditional density and value-at-risk prediction of asian currency exchange rates', Journal of Forecasting 19, 313-333.
31. Peiró, A. (1999), 'Skewness in financial returns', Journal of Banking and Finance 23, 847-862.
32. Robert, R. P. and G. Casella (1999), Monte Carlo Statistical Methods, Springer.
33. Steel, M. F. J. (1998), 'Bayesian analysis of stochastic volatility models with flexible tails', Econometric Reviews 17, 109-143.
34. Tanner, M.A. and W.H. Wong (1987), 'The calculation of posterior distributions by data augmentation', Journal of the American Statistical Association 82, 528-524.
35. Taylor, S. J. (1994), 'Modelling stochastic volatility: a review and comparative study', Mathematical Finance 4, 183-204.
36. Tierney, L. (1994), 'Markov Chains for exploring posterior distributions', Annals of Statistics 22, 1701-1728.
37. Tierney, L. and A. Mira (1999), 'Some adaptive Monte Carlo methods for bayesian inference', Statistics in Medicine 18, 2507-2515.
38. Verdinelli, I and L. Wasserman (1995), 'Computing Bayes factors using a generalization of the Savage-Dickey density ratio', Journal of the American Statistical Association 90, 614-618.