×

Bayesian inference for the mixed conditional heteroskedasticity model. (English) Zbl 1122.62015

Summary: We estimate by Bayesian inference the mixed conditional heteroskedasticity model of M. Haas et al. [Mixed normal conditional heteroskedasticity. J. Financial Econ. 2, 211–250 (2004)]. We construct a Gibbs sampler algorithm to compute posterior and predictive densities. The number of mixture components is selected by the marginal likelihood criterion. We apply the model to the SP500 daily returns.

MSC:

62F15 Bayesian inference
62P05 Applications of statistics to actuarial sciences and financial mathematics
Full Text: DOI

References:

[1] DOI: 10.1002/jae.849 · doi:10.1002/jae.849
[2] DOI: 10.1016/j.jeconom.2003.12.002 · Zbl 1085.62028 · doi:10.1016/j.jeconom.2003.12.002
[3] Bauwens L., Computational Statistics and Data Analysis (2006)
[4] DOI: 10.1111/1368-423X.11003 · doi:10.1111/1368-423X.11003
[5] Bauwens L., Bayesian Inference in Dynamic Econometric Models (1999) · Zbl 0986.62101
[6] DOI: 10.1016/0304-4076(86)90063-1 · Zbl 0616.62119 · doi:10.1016/0304-4076(86)90063-1
[7] Bollerslev T., Handbook of Econometrics pp 2959– (1994)
[8] Dempster A., Journal of the Royal Statistical Society Series B 39 pp 1– (1977)
[9] Diebold F., Econometric Reviews 5 pp 51– (1986)
[10] DOI: 10.1016/0304-4076(89)90030-4 · Zbl 0668.62080 · doi:10.1016/0304-4076(89)90030-4
[11] Geweke J., Journal of Econometrics (2005) · Zbl 1093.62107
[12] DOI: 10.1093/jjfinec/nbh009 · doi:10.1093/jjfinec/nbh009
[13] DOI: 10.1093/jjfinec/nbh020 · doi:10.1093/jjfinec/nbh020
[14] DOI: 10.2307/2291091 · Zbl 0846.62028 · doi:10.2307/2291091
[15] Kleibergen F., Journal of Applied Econometrics 8 pp S41– (1993)
[16] Marin J., Bayesian Modelling and Inference on Mixtures of Distributions, Handbook of Statistics 25 (2005)
[17] McLachlan G., Finite Mixture Models (2000) · Zbl 0963.62061 · doi:10.1002/0471721182
[18] DOI: 10.1162/003465304323023886 · doi:10.1162/003465304323023886
[19] DOI: 10.2307/2938260 · Zbl 0722.62069 · doi:10.2307/2938260
[20] DOI: 10.1111/1467-9868.00095 · doi:10.1111/1467-9868.00095
[21] DOI: 10.2307/2289457 · Zbl 0619.62029 · doi:10.2307/2289457
[22] DOI: 10.2307/2287970 · Zbl 0587.62067 · doi:10.2307/2287970
[23] Wilks S., Mathematical Statistics (1962) · Zbl 0173.45805
[24] DOI: 10.1111/1467-9868.00222 · Zbl 0941.62095 · doi:10.1111/1467-9868.00222
[25] DOI: 10.1198/016214501753208645 · Zbl 1051.62091 · doi:10.1198/016214501753208645
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.