Optimal designs for model discrimination and fitting for the flow of particles

Mariano Amo-Salas (), Elvira Delgado-Márquez (), Lenka Filová () and Jesús López-Fidalgo ()
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Mariano Amo-Salas: School of Medicine
Elvira Delgado-Márquez: Higher Technical School of Industrial Engineering
Lenka Filová: Faculty of Mathematics, Physics and Informatics
Jesús López-Fidalgo: Higher Technical School of Industrial Engineering

Statistical Papers, 2016, vol. 57, issue 4, No 2, 875-891

Abstract: Abstract During the discharge of a two-dimensional silo, the flow of grains through an opening is arrested if the size of the outlet is not large enough. In the outpouring of grains, jamming occurs due to the formation of an arch at the outlet. After breaking the arch, the grains fall until a new arch is formed. Several models have been proposed to explain this process. The goal of this work is twofold. First, we developed a comparative study of the models proposed by Janda et al. (Europhys Lett 84(4):44002-1–44002-6, 2008) and To (Phys Rev E 71(6):060301-1–060301-4, 2005). We have computed D-optimal and c-optimal designs for the most important parameter of the models. Secondly, using the criterion of KL-optimality developed by López-Fidalgo et al. (J R Stat Soc Ser B 69(2):231–242, 2007), optimal designs for discriminating between these models have been computed.

Keywords: D-optimality; KL-optimality; c-Optimality; Granular material (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00362-016-0792-5

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