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

A Maximum Entropy Modelling of the Rain Drop Size Distribution

1,2,* email and 2email
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)
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.
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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