Now let’s step back and look at what we just did in the lesson Some examples of functional modeling, and see if we can draw some conclusions.
The following video provides a synopsis and ties things together while underscoring a few important points.
And the following table summarizes what we found through the four examples we’ve studied so far, and through the various forms of functional model we ended up with. In the rightmost column I’ve also labeled the type of model / equations corresponding to each example.
In the geodetic sciences, we use functional models to relate the true or actual values of the observed quantities, , to the unknown parameters or observables, .
The general form can be classified into three types:
It is worth noting that:
In the next mini course we will look at the topic of linearizing functional models because, as you will see, most of those we deal with are non-linear and therefore not useful in a practical estimation process.