Maximum Entropy Distributions of Scale-Invariant Processes

Organizations of many variables in nature such as soil moisture and topography exhibit patterns with no dominant scales. The maximum entropy (ME) principle is proposed to show how these variables can be statistically described using their scale-invariant properties and geometric mean. The ME princip...

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Bibliographic Details
Main Authors: Nieves, Veronica (Author), Wang, Jingfeng (Author), Bras, Rafael L. (Contributor), Wood, Elizabeth B. (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Civil and Environmental Engineering (Contributor)
Format: Article
Language:English
Published: American Physical Society, 2011-01-25T16:19:42Z.
Subjects:
Online Access:Get fulltext
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100 1 0 |a Nieves, Veronica  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Civil and Environmental Engineering  |e contributor 
100 1 0 |a Wood, Elizabeth B.  |e contributor 
100 1 0 |a Bras, Rafael L.  |e contributor 
100 1 0 |a Wood, Elizabeth B.  |e contributor 
700 1 0 |a Wang, Jingfeng  |e author 
700 1 0 |a Bras, Rafael L.  |e author 
700 1 0 |a Wood, Elizabeth B.  |e author 
245 0 0 |a Maximum Entropy Distributions of Scale-Invariant Processes 
260 |b American Physical Society,   |c 2011-01-25T16:19:42Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/60702 
520 |a Organizations of many variables in nature such as soil moisture and topography exhibit patterns with no dominant scales. The maximum entropy (ME) principle is proposed to show how these variables can be statistically described using their scale-invariant properties and geometric mean. The ME principle predicts with great simplicity the probability distribution of a scale-invariant process in terms of macroscopic observables. The ME principle offers a universal and unified framework for characterizing such multiscaling processes. 
520 |a United States. Army Research Office (RDECOM ARL) (Grant No. W911NF-07- 1-0126) 
546 |a en_US 
655 7 |a Article 
773 |t Physical Review Letters