Organodynamics

Grant Holland, Apr 25, 2014

Slide: Some Ideas and Viewpoints I Want to HighlightÉcontinued.

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Information Theory

 

There is precedent, and good reason, for distinguishing information theory from communications theory.

 

It is reasonable to define information theory as a branch of probability theory that studies entropic functionals, including statistical entropy.

 

 

 

 

 

According to this view, information theory is a sibling to mathematical statistics Ð both providing ways to characterize chance variation.

 

Whereas, information theory concerns entropic functionals, the Òsweet spotÓ of mathematical statistics is moments and central moments.

 

Random variables

 

The strict meaning of Òrandom variableÓ requires a mapping from the sample space to the real numbers.

 

There are some highly complex probability spaces for which such a mapping does not make sense, or have semantic utility.

 

The theory presented operates on such spaces.

 

 

 

The literature on stochastic processes emphasizes the random variable assumption, and is therefore not particularly helpful to organodynamic theory and applications.

 

Notes: