Testing for Proportional Hazards with Unrestricted Univariate Unobserved Heterogeneity

We develop tests of the proportional hazards assumption, with respect to a continuous covariate, in the presence of unobserved heterogeneity with unknown distribution at the individual observation level. The proposed tests are specially powerful against ordered alternatives useful for modeling non-proportional hazards situations. By contrast to the case when the heterogeneity distribution is known up to …nite dimensional parameters, the null hypothesis for the current problem is similar to a test for absence of covariate dependence. However, the two testing problems di¤er in the nature of relevant alternative hypotheses. We develop tests for both the problems against ordered alternatives. Small sample performance and an application to real data highlight the usefulness of the framework and methodology.

Taxation and Total Government Take from the UK Continental Shelf (UKCS) Following Phase 3 of the European Emissions Trading Scheme (EU ETS)

NORTH SEA STUDY OCCASIONAL PAPER No. 117

The Prospects for Activity in the UK Continental Shelf to 2040: the 2009 Perspective

NORTH SEA STUDY OCCASIONAL PAPER No. 114

Macroeconomics: Science or Faith Based Discipline?

Whether or not macroeconomics is a science depends on the scientific nature of macroeconomic theories and how the discipline responds when the empirical evidence fails to match the underlying assumptions and predictions of the theories. By way of an example, four conditions for macroeconomics to be a science are developed and used to examine the 'modern' theories of the Phillips curve. It is found that while the discipline in general maintains one condition it routinely violates the other three. This suggests the macroeconomics discipline has some way to go before it can call itself a 'pure science.'