On the relation between the Maximum Entropy Principle and the principle of Least Effort: The continuous case

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摘要

The Maximum Entropy Principle (MEP) maximizes the entropy provided that the effort remains constant. The Principle of Least Effort (PLE) minimizes the effort provided that the entropy remains constant. The paper investigates the relation between these two principles. In some kinds of effort functions, called admissible, it is shown that these two principles are equivalent. The results are illustrated by the size–frequency statistical distribution met in infometry in Information Production Processes.

论文关键词：Maximum Entropy Principle,Principle of Least Effort,Effort function,Inverse power function

论文评审过程：Received 13 March 2007, Revised 13 July 2007, Accepted 16 October 2007, Available online 26 November 2007.

论文官网地址：https://doi.org/10.1016/j.joi.2007.10.002