Part I General Introduction
Gravitational waves in the linearised theory of General Relativity
Gravitational waves in the post-Newtonian formalism
Gravitational waves: detection and sources
Bayesian Inference
Computational methods
Part II Testing the Strong-field Dynamics of General Relativity
Introduction
Test Infrastructure for General Relativity (TIGER)
Results
Discussion
Part III Inferring the Large-scale Structure of the Universe
Introduction
Cosmography
Electromagnetic counterpart as redshift measurement
Concluding remarks
A Systematic multipole expansion
Bibliography
Popular-science summary.