A Vector Autoregressive model (VAR) with normally distributed innovations is a Curved Exponential Model (CEM). Cointegration imposes further curvature on the model and this means that in addition to the important reasons for conditioning in non-stationary time series as given by Johansen (1995,...

Researchers typically assume experimental subjects have rational expectations. If the object of the experiment is to learn the distibution of decision makers' types, then this amounts to assuming subjects' know the very thing the researcher wishes to learn. We propose a method of conducting...

Many macroeconomic models involve hybrid equations, in which some variables are a function of both their lags and their expected future value. The hybrid ``New Keynesian'' Phillips Curve is a prominent example. Estimates of such hybrid models have produced conflicting empirical results: Studies...

This paper studies weak exogeneity of conditioning variables for the inference of a subset of parameters of the conditional student's t and elliptical linear regression models considered by Spanos (1994). Weak exogeneity of the conditioning variables is shown to hold for the inference of...

This lecture explores conditions under which there is identification of the impact on an outcome of exogenous variation in a variable which is endogenous when data are gathered. The starting point is the Cowles Commission linear simultaneous equations model. The parametric and additive error...

We analyze the properties of a bias-corrected realized variance (RV) in the presence of iid market microstructure noise. The bias correction is based on the first-order autocorrelation of intraday returns and we derive the optimal sampling frequency as defined by the mean squared error (MSE)...