A Bayesian estimation of lag lengths in distributed lag models

Autor: Rubiane M. Pires, José Galvão Leite, Camila Pedrozo Rodrigues, Carlos R. Diniz
Rok vydání: 2012
Předmět:
Zdroj: Journal of Statistical Computation and Simulation. 84:415-427
ISSN: 1563-5163
0094-9655
DOI: 10.1080/00949655.2012.712972
Popis: Dynamic regression models are widely used because they express and model the behaviour of a system over time. In this article, two dynamic regression models, the distributed lag (DL) model and the autoregressive distributed lag model, are evaluated focusing on their lag lengths. From a classical statistics point of view, there are various methods to determine the number of lags, but none of them are the best in all situations. This is a serious issue since wrong choices will provide bad estimates for the effects of the regressors on the response variable. We present an alternative for the aforementioned problems by considering a Bayesian approach. The posterior distributions of the numbers of lags are derived under an improper prior for the model parameters. The fractional Bayes factor technique [A. O'Hagan, Fractional Bayes factors for model comparison (with discussion), J. R. Statist. Soc. B 57 (1995), pp. 99–138] is used to handle the indeterminacy in the likelihood function caused by the improper prio...
Databáze: OpenAIRE