Maximum Entropy Distributions of Scale-Invariant Processes

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.
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Description
Summary: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.
United States. Army Research Office (RDECOM ARL) (Grant No. W911NF-07- 1-0126)

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