Engle’s footsteps range widely. His major contributions include early work on band-spectral regression, development and unification of the theory of model specification tests (particularly Lagrange multiplier tests), clarification of the meaning of econometric exogeneity and its relationship to causality, and his later stunningly influential work on common trend modeling (cointegration) and vol...

BACKGROUND The number of events per individual is a widely reported variable in medical research papers. Such variables are the most common representation of the general variable type called discrete numerical. There is currently no consensus on how to compare and present such variables, and recommendations are lacking. The objective of this paper is to present recommendations for analysis and ...

Generalized method of moments (GMM) estimation has become an important unifying framework for inference in econometrics in the last 20 years. It can be thought of as encompassing almost all of the common estimation methods, such as maximum likelihood, ordinary least squares, instrumental variables, and two-stage least squares, and nowadays is an important part of all advanced econometrics textb...

2 General notions 2 2.1 Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.2 Densities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 Quantiles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.4 Summary measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.5 Some use...

The Central Limit Theorem (CLT) is an important result in statistics and econometrics and econometricians often rely on the CLT for inference in practice. Even though different conditions apply to different kinds of data, the CLT results are believed to be generally available for a range of situations. This paper illustrates the use of the Kullback-Leibler Information (KLI) measure to assess ho...

We propose identi…cation robust inference methods for multivariate reduced rank (MRR) regressions. Such models involve nonlinear restrictions on the coe¢ cients of a multivariate linear regression (MLR), whose identi…cation may raise serious non-regularities leading to the failure of standard asymptotics. To circumvent such problems, we propose con…dence set estimates for parameters of interest...

Econometrics and Truth The second half of the sixties was, at first sight, the golden age of econometrics. At the time, it appeared that some minor advances in theory, data and computer facilities would allow us to construct an econometric model which would chart the course to universal prosperity. The seventies were to deal a cruel blow to these extravagant expectations. This rise and fall of ...