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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
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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Abstract

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 (CC BY 3.0).

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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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