Bayesian Estimation of a Skew-Student-t Stochastic Volatility Model

Verfasser / Beitragende:
[C. Abanto-Valle, V. Lachos, Dipak Dey]
Ort, Verlag, Jahr:
2015
Enthalten in:
Methodology and Computing in Applied Probability, 17/3(2015-09-01), 721-738
Format:
Artikel (online)
ID: 605519595
LEADER caa a22 4500
001 605519595
003 CHVBK
005 20210128100731.0
007 cr unu---uuuuu
008 210128e20150901xx s 000 0 eng
024 7 0 |a 10.1007/s11009-013-9389-9  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s11009-013-9389-9 
245 0 0 |a Bayesian Estimation of a Skew-Student-t Stochastic Volatility Model  |h [Elektronische Daten]  |c [C. Abanto-Valle, V. Lachos, Dipak Dey] 
520 3 |a In this paper we present a stochastic volatility (SV) model assuming that the return shock has a skew-Student-t distribution. This allows a parsimonious, flexible treatment of skewness and heavy tails in the conditional distribution of returns. An efficient Markov chain Monte Carlo (MCMC) algorithm is developed and used for parameter estimation and forecasting. The MCMC method exploits a skew-normal mixture representation of the error distribution with a gamma distribution as the mixing distribution. The developed methodology is applied to the NASDAQ daily index returns. Bayesian model selection criteria as well as out-of-sample forecasting in a value-at-risk (VaR) study reveal that the SV model based on skew-Student-t distribution provides significant improvement in model fit as well as prediction to the NASDAQ index data over the usual normal model. 
540 |a Springer Science+Business Media New York, 2013 
690 7 |a Markov chain Monte Carlo  |2 nationallicence 
690 7 |a Non-Gaussian and nonlinear state space models  |2 nationallicence 
690 7 |a Skew-Student-t  |2 nationallicence 
690 7 |a Stochastic volatility  |2 nationallicence 
690 7 |a Value-at-risk  |2 nationallicence 
700 1 |a Abanto-Valle  |D C.  |u Department of Statistics, Federal University of Rio de Janeiro, CP 68530, CEP 21945-970, Rio de Janeiro, RJ, Brazil  |4 aut 
700 1 |a Lachos  |D V.  |u Department of Statistics, Campinas State University, CP 6065, CEP 13083-859, Campinas, SP, Brazil  |4 aut 
700 1 |a Dey  |D Dipak  |u Department of Statistics, University of Connecticut, Storrs, CT, USA  |4 aut 
773 0 |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/3(2015-09-01), 721-738  |x 1387-5841  |q 17:3<721  |1 2015  |2 17  |o 11009 
856 4 0 |u https://doi.org/10.1007/s11009-013-9389-9  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s11009-013-9389-9  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Abanto-Valle  |D C.  |u Department of Statistics, Federal University of Rio de Janeiro, CP 68530, CEP 21945-970, Rio de Janeiro, RJ, Brazil  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Lachos  |D V.  |u Department of Statistics, Campinas State University, CP 6065, CEP 13083-859, Campinas, SP, Brazil  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Dey  |D Dipak  |u Department of Statistics, University of Connecticut, Storrs, CT, USA  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/3(2015-09-01), 721-738  |x 1387-5841  |q 17:3<721  |1 2015  |2 17  |o 11009