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; in revised form: 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

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MDPI and ACS Style

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

AMA Style

Checa R, Tapiador FJ. A Maximum Entropy Modelling of the Rain Drop Size Distribution. Entropy. 2011; 13(2):293-315.

Chicago/Turabian Style

Checa, Ramiro; Tapiador, Francisco J. 2011. "A Maximum Entropy Modelling of the Rain Drop Size Distribution." Entropy 13, no. 2: 293-315.

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