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...
Main Author: | Steven A. Frank |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2016-05-01
|
Series: | Entropy |
Subjects: | |
Online Access: | http://www.mdpi.com/1099-4300/18/5/192 |
Similar Items
-
How to Read Probability Distributions as Statements about Process
by: Steven A. Frank
Published: (2014-11-01) -
Measurement Invariance, Entropy, and Probability
by: D. Eric Smith, et al.
Published: (2010-02-01) -
Beyond Gibbs-Boltzmann-Shannon: General Entropies -- The Gibbs-Lorentzian Example
by: Rudolf A. Treumann, et al.
Published: (2014-08-01) -
Estimation of the probable maximum size of inclusions using statistics of extreme values and particle size distribution methods
by: Yong Wang, et al.
Published: (2022-09-01) -
E T Jaynes : papers on probability statistical and statistical physics/
by: 422171 Jaynes, E. T., et al.
Published: (1989)