期刊论文详细信息
Entropy
Common Probability Patterns Arise from Simple Invariances
Steven A. Frank1 
[1] Department of Ecology &
关键词: measurement;    maximum entropy;    information theory;    statistical mechanics;    extreme value distributions;   
DOI  :  10.3390/e18050192
来源: DOAJ
【 摘 要 】

Shift and stretch invariance lead to the exponential-Boltzmann probability distribution. Rotational invariance generates the Gaussian distribution. Particular scaling relations transform the canonical exponential and Gaussian patterns into the variety of commonly observed patterns. The scaling relations themselves arise from the fundamental invariances of shift, stretch and rotation, plus a few additional invariances. Prior work described the three fundamental invariances as a consequence of the equilibrium canonical ensemble of statistical mechanics or the Jaynesian maximization of information entropy. By contrast, I emphasize the primacy and sufficiency of invariance alone to explain the commonly observed patterns. Primary invariance naturally creates the array of commonly observed scaling relations and associated probability patterns, whereas the classical approaches derived from statistical mechanics or information theory require special assumptions to derive commonly observed scales.

【 授权许可】

Unknown   

  文献评价指标  
  下载次数:0次 浏览次数:2次