Abstract

The previous chapter gave various examples of geophysical time series and the various trajectory models that can be fitted to them. In this chapter we will focus on how the parameters of the trajectory model can be estimated. It is meant to give researchers new to this topic an easy introduction to the theory with references to key books and articles where more details can be found. In addition, we hope that it refreshes some of the details for the more experienced readers. We pay special attention to the modelling of the noise which has received much attention in the literature in the last years and highlight some of the numerical aspects. The subsequent chapters will go deeper into the theory, explore different aspects and describe the state of art of this area of research.