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.
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The authors are supported by Ministerio de Economía y Competitividad and Fondos FEDER MTM2010–20774-C03-01 and MTM2013–47879-C2-1-P and Junta de Comunidades de Castilla la Mancha PEII10–0291-1850 and by the Slovak VEGA-Grant No. 1/0521/16. The authors would like to thank the associate editor and the referees for their comments, which have contributed very much to improve the paper.
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Amo-Salas, M., Delgado-Márquez, E., Filová, L. et al. Optimal designs for model discrimination and fitting for the flow of particles. Stat Papers 57, 875–891 (2016). https://doi.org/10.1007/s00362-016-0792-5
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DOI: https://doi.org/10.1007/s00362-016-0792-5