This is a book on new approaches to the exploratory analysis of an unknown system. The approaches are based upon uses of Fisher information and, in particular, on a unified approach to science called EPI (extreme physical information). Both theory and applications are given. The scope of systems that can be so analyzed is quite broad, in fact encompassing
all statistically based phenomena
. The new approaches grow out of analyzing how these systems convey Fisher information to
. The result is a novel program of exploratory data analysis (EDA), whose inputs are real or
data, and whose outputs are the natural laws governing the systems. Examples are the Schrodinger wave equation and the quarter-power laws of biology.