Common Probability Patterns Arise from Simple Invariances

Common Probability Patterns Arise from Simple Invariances

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 relat...

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Bibliographic Details
Main Author: Steven A. Frank
Format: Article
Language:English
Published: MDPI AG 2016-05-01
Series:Entropy
Subjects:
measurement
maximum entropy
information theory
statistical mechanics
extreme value distributions
Online Access:http://www.mdpi.com/1099-4300/18/5/192

Internet

http://www.mdpi.com/1099-4300/18/5/192

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