M R O Panão and A L N Moreira 2008 Meas. Sci. Technol. 19 095402 doi:10.1088/0957-0233/19/9/095402
M R O Panão and A L N Moreira
Show affiliationsThis work addresses the estimation of the measurement uncertainty of discrete probability distributions used in the characterization of sprays. A real-time assessment of this measurement uncertainty is further investigated, particularly concerning the informative quality of the measured distribution and the influence of acquiring additional information on the knowledge retrieved from statistical analysis. The informative quality is associated with the entropy concept as understood in information theory (Shannon entropy), normalized by the entropy of the most informative experiment. A new empirical correlation is derived between the error accuracy of a discrete cumulative probability distribution and the normalized Shannon entropy. The results include case studies using: (i) spray impingement measurements to study the applicability of the real-time assessment of measurement uncertainty, and (ii) the simulation of discrete probability distributions of unknown shape or function to test the applicability of the new correlation.
47.57.-s Complex fluids and colloidal systems
47.80.-v Instrumentation and measurement methods in fluid dynamics
Issue 9 (September 2008)
Received 22 April 2008, in final form 30 May 2008
Published 25 July 2008
M R O Panão and A L N Moreira 2008 Meas. Sci. Technol. 19 095402
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