Bayesian analysis of heavy-tailed market microstructure model and its application in stock markets

作者: Yanhui Xi , Hui Peng , Yemei Qin , Wenbiao Xie , Xiaohong Chen

DOI: 10.1016/J.MATCOM.2015.06.006

关键词:

摘要: Abstract The market microstructure (MM) models using normal distribution are useful tools for modeling financial time series, but they cannot explain essential characteristics of skewness and heavy tails, which may occur in a market. To cope with this problem, heavy-tailed model based on Student- t (MM- ) is proposed paper. Under the assumption non-normality, an efficient Markov chain Monte Carlo (MCMC) method developed parameter estimation model. simulation study verifies effectiveness approach. In empirical study, various stock indices compared to MM other distributions, such as mixture two distributions. Empirical results indicate that prices/returns have tails MM- provides better fit than distributions some series. Comparison different type also done, demonstrates fits three stochastic volatility (SV- distribution.

参考文章(44)
D. F. Andrews, C. L. Mallows, Scale Mixtures of Normal Distributions Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 36, pp. 99- 102 ,(1974) , 10.1111/J.2517-6161.1974.TB00989.X
Marc R. Reinganum, Market microstructure and asset pricing Journal of Financial Economics. ,vol. 28, pp. 127- 147 ,(1990) , 10.1016/0304-405X(90)90050-A
H. Peng, T. Ozaki, V. Haggan-Ozaki, A discrete microstructure model based modeling and control method for financial markets international conference on control applications. ,vol. 2, pp. 960- 965 ,(2002) , 10.1109/CCA.2002.1038732
María Concepción Ausín, Pedro Galeano, Bayesian estimation of the Gaussian mixture GARCH model Computational Statistics & Data Analysis. ,vol. 51, pp. 2636- 2652 ,(2007) , 10.1016/J.CSDA.2006.01.006
Genshiro Kitagawa, Non-Gaussian State—Space Modeling of Nonstationary Time Series Journal of the American Statistical Association. ,vol. 82, pp. 1032- 1041 ,(1987) , 10.1080/01621459.1987.10478534
S.T. Boris Choy, Jennifer S.K. Chan, SCALE MIXTURES DISTRIBUTIONS IN STATISTICAL MODELLING Australian & New Zealand Journal of Statistics. ,vol. 50, pp. 135- 146 ,(2008) , 10.1111/J.1467-842X.2008.00504.X
Moshe Fridman, Lawrence Harris, A maximum likelihood approach for non-Gaussian stochastic volatility models Journal of Business & Economic Statistics. ,vol. 16, pp. 284- 291 ,(1998) , 10.1080/07350015.1998.10524767
H. Peng *, Y. Tamura, W. Gui, T. Ozaki, Modelling and asset allocation for financial markets based on a stochastic volatility microstructure model International Journal of Systems Science. ,vol. 36, pp. 315- 327 ,(2005) , 10.1080/00207720500089408
Tim Bollerslev, A CONDITIONALLY HETEROSKEDASTIC TIME SERIES MODEL FOR SPECULATIVE PRICES AND RATES OF RETURN The Review of Economics and Statistics. ,vol. 62, pp. 542- 547 ,(1987) , 10.2307/1925546