Title: Directional testing in astrophysics
Authors: Yanbo Tang - Imperial College London (United Kingdom) [presenting]
Nancy Reid - University of Toronto (Canada)
Abstract: A previously proposed directional test for vector parameters of interest is discussed. This test is obtained through the tangent exponential model constructed by embedding the suitably re-parametrized initial model within a linear exponential model. It is shown to be highly accurate both theoretically and numerically in the small sample setting compared to other omnibus tests. We then discuss an ongoing astrophysics project in which we use the proposed directional test to determine if observed X-ray emissions from black holes are constant over time.