The Mathematics of Loglet Analysis

Generalization of the Bi-logistic model

The Component Logistic Model

The Loglet Lab software package allows users to fit several logistic
pulses to a series, elucidating clues to the components that form the
wiggles, speedups, and set backs that Kindleberger described so well.
Users are prompted to provide the fitting engine with a bare amount of
information (i.e., how many components to use); the fitting engine, as
its name would imply, does the mathematical calculations to
obtain the parameters which optimally describe the logistic, and plots
the resulting curve. Once the fit has
been made, users can access the various visualizations which we
described above.
The following section will describe the mathematics of the fitting
engine and the mathematical motivations behind analyzing systems with
logistic growth.

*Perrin S Meyer*

*1998-07-14*