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Entropy 2011, 13(2), 293-315; doi:10.3390/e13020293

A Maximum Entropy Modelling of the Rain Drop Size Distribution

1,2,*  and 2
1 NASA, Goddard Space Flight Center, Greenbelt, MD, USA 2 Institute of Environmental Sciences, Faculty of Environmental Sciences, University of Castilla-La Mancha, Toledo, Spain
* Author to whom correspondence should be addressed.
Received: 30 December 2010 / Revised: 13 January 2011 / Accepted: 20 January 2011 / Published: 26 January 2011
(This article belongs to the Special Issue Advances in Statistical Mechanics)
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This paper presents a maximum entropy approach to Rain Drop Size Distribution (RDSD) modelling. It is shown that this approach allows (1) to use a physically consistent rationale to select a particular probability density function (pdf) (2) to provide an alternative method for parameter estimation based on expectations of the population instead of sample moments and (3) to develop a progressive method of modelling by updating the pdf as new empirical information becomes available. The method is illustrated with both synthetic and real RDSD data, the latest coming from a laser disdrometer network specifically designed to measure the spatial variability of the RDSD.
Keywords: rain drop size distribution; maximum entropy method rain drop size distribution; maximum entropy method
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Checa, R.; Tapiador, F.J. A Maximum Entropy Modelling of the Rain Drop Size Distribution. Entropy 2011, 13, 293-315.

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