A Maximum Entropy Modelling of the Rain Drop Size Distribution

Author: Checa Ramiro   Tapiador Francisco J.  

Publisher: MDPI

E-ISSN: 1099-4300|13|2|293-315

ISSN: 1099-4300

Source: Entropy, Vol.13, Iss.2, 2011-01, pp. : 293-315

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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.