Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Bayesian model selection in ARFIMA models
AU - Eǧrïoǧlu, Erol
AU - Günay, Süleyman
PY - 2010/1/1
Y1 - 2010/1/1
N2 - Various model selection criteria such as Akaike information criterion (AIC; Akaike, 1973), Bayesian information criterion (BIC; Akaike, 1979) and Hannan-Quinn criterion (HQC; Hannan, 1980) are used for model specification in autoregressive fractional integrated moving average (ARFIMA) models. Classical model selection criteria require to calculate both model parameters and order. This kind of approach needs much time. However, in the literature, there are proposed methods which calculate model parameters and order at the same time such as reversible jump Markov chain Monte Carlo (RJMCMC) method, Carlin and Chib (CC) method. In this paper, we proposed two new methods that are using RJMCMC method. The proposed methods are compared with classical methods by a simulation study. We obtained that our methods outperform classical methods in most cases.
AB - Various model selection criteria such as Akaike information criterion (AIC; Akaike, 1973), Bayesian information criterion (BIC; Akaike, 1979) and Hannan-Quinn criterion (HQC; Hannan, 1980) are used for model specification in autoregressive fractional integrated moving average (ARFIMA) models. Classical model selection criteria require to calculate both model parameters and order. This kind of approach needs much time. However, in the literature, there are proposed methods which calculate model parameters and order at the same time such as reversible jump Markov chain Monte Carlo (RJMCMC) method, Carlin and Chib (CC) method. In this paper, we proposed two new methods that are using RJMCMC method. The proposed methods are compared with classical methods by a simulation study. We obtained that our methods outperform classical methods in most cases.
KW - Autoregressive fractional integrated moving average models
KW - Bayesian model selection
KW - Long memory processes
KW - Reversible jump Markov chain Monte Carlo
U2 - 10.1016/j.eswa.2010.05.047
DO - 10.1016/j.eswa.2010.05.047
M3 - Journal article
AN - SCOPUS:77957838947
VL - 37
SP - 8359
EP - 8364
JO - Expert Systems with Applications
JF - Expert Systems with Applications
SN - 0957-4174
IS - 12
ER -