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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mariano Amo-Salas & Elvira Delgado-Márquez & Lenka Filová & Jesús López-Fidalgo, 2016. "Optimal designs for model discrimination and fitting for the flow of particles," Statistical Papers, Springer, vol. 57(4), pages 875-891, December.
    • Handle: RePEc:spr:stpapr:v:57:y:2016:i:4:d:10.1007_s00362-016-0792-5
    DOI: 10.1007/s00362-016-0792-5
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    Cited by:

    1. Sanyu Zhou & Defa Wang & Jingjing Zhu, 2020. "Construction of simultaneous confidence bands for a percentile hyper-plane with predictor variables constrained in an ellipsoidal region," Statistical Papers, Springer, vol. 61(3), pages 1335-1346, June.
    2. Sergio Pozuelo-Campos & Víctor Casero-Alonso & Mariano Amo-Salas, 2021. "Effect of Probability Distribution of the Response Variable in Optimal Experimental Design with Applications in Medicine," Mathematics, MDPI, vol. 9(9), pages 1-15, April.
    3. Víctor Casero-Alonso & Andrey Pepelyshev & Weng K. Wong, 2018. "A web-based tool for designing experimental studies to detect hormesis and estimate the threshold dose," Statistical Papers, Springer, vol. 59(4), pages 1307-1324, December.

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