In this chapter, a statistical measure of complexity and the Fisher-Shannon information product are introduced and their properties are discussed. These measures are based on the interplay between the Shannon information, or a function of it, and the separation of the set of accessible states to a system from the equiprob-ability distribution, i.e. the… (More)
A two-parameter family of complexity measures C ˜ ͑␣,␤͒ based on the Rényi entro-pies is introduced and characterized by a detailed study of its mathematical properties. This family is the generalization of a continuous version of the Lopez-Ruiz– Mancini–Calbet complexity, which is recovered for ␣ = 1 and ␤ = 2. These complexity measures are obtained by… (More)
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