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Study of a Measure of Efficiency as a Tool for Applying the Principle of Least Effort to the Derivation of the Zipf and the Pareto Laws

Year: 2021
Type: article
Abstract: The principle of least effort (PLE) is believed to be a universal rule for living systems. Its application to the derivation of the power law probability distributions of living systems has long been challenging. Recently, a measure of efficiency was proposed as a tool of deriving Zipf’s and Pareto’s laws directly from the PLE. This work is a further investigation of this efficiency measure from a mathematical point of view. The aim is to get further insight into its properties and usefulness as a metric of performance. We address some key mathematical properties of this efficiency such as its sign, uniqueness and robustness. We also look at the relationship between this measure and other properties of the system of interest such as inequality and uncertainty, by introducing a new method for calculating nonnegative continuous entropy.
DOI: 10.1142/s0219525921500132
Authors: A. EL KAABOUCHI, F. X. MACHU, J. COCKS, R. WANG, Y. Y. ZHU, Q. A. WANG
Institutions: École Supérieure des Techniques Aéronautiques et de Construction Automobile, ESIEA University, Wuhan Textile University, Centre National de la Recherche Scientifique, Le Mans Université, Institut des Molécules et Matériaux du Mans
Language: English
Open Access status: green
OpenAlex ID: W4281556090
FWCI: 0.535
Cites: 24
Cited by: 8
Related to: 10