On the Shape of the Likelihood/Posterior in Cointegration Models

B-Tier
Journal: Econometric Theory
Year: 1994
Volume: 10
Issue: 3-4
Pages: 514-551

Score contribution per author:

1.005 = (α=2.01 / 2 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

A vector autoregressive (VAR) model is specified with equation system parameters, which directly reflect the possible cointegrating nature of the analyzed time series. By using a flat/diffuse prior, we show that the marginal posteriors of the parameters of interest (multipliers of the cointegrating vectors) may be nonintegrable and favor difference stationary models in an undesired way. To choose between stationary, cointegrated, and difference stationary models in a meaningful way, the Jeffreys prior principle is used. We investigate the sensitivity of the posterior results with respect to the construction of the Jeffreys prior. In this context, we also analyze the effect of fixed and stochastic initial values. The theoretical results are illustrated by using a VAR model for shortand long–term interest rates in the United States.

Technical Details

RePEc Handle
repec:cup:etheor:v:10:y:1994:i:3-4:p:514-551_00
Journal Field
Econometrics
Author Count
2
Added to Database
2026-01-25