Designing experiments for estimating an appropriate outlet size for a silo type problem

López Fidalgo, Jesús; May, Caterina; Moler Cuiral, José Antonio

Publication:
Designing experiments for estimating an appropriate outlet size for a silo type problem

dc.contributor.author	López Fidalgo, Jesús
dc.contributor.author	May, Caterina
dc.contributor.author	Moler Cuiral, José Antonio
dc.contributor.department	Estadística, Informática y Matemáticas	es_ES
dc.contributor.department	Estatistika, Informatika eta Matematika	eu
dc.date.accessioned	2023-04-26T17:15:54Z
dc.date.available	2023-04-26T17:15:54Z
dc.date.issued	2023
dc.date.updated	2023-04-26T17:08:43Z
dc.description.abstract	Jam formation is a problem that may occur when granular material is discharged by gravity from a silo. The estimation of the minimum outlet size, which guarantees that the time to the next jamming event is long enough, can be crucial in the industry. The time is modeled by an exponential distribution with two unknown parameters, and this goal translates to precise estimation of a nonlinear transformation of the parameters. We obtain c-optimum experimental designs with that purpose, applying the graphic Elfving method. Because the optimal experimental designs depend on the nominal values of the parameters, we conduct a sensitivity analysis on our dataset. Finally, a simulation study checks the performance of the approximations, first with the Fisher Information matrix, then with the linearization of the function to be estimated. The results are useful for experimenting in a laboratory and then translating the results to a real scenario. From the application we develop a general methodology for estimating a one-dimensional transformation of the parameters of a nonlinear model.	en
dc.description.sponsorship	The first author was sponsored by Ministerio de Ciencia e Innovación PID2020-113443RB-C21 and the third one by Ministerio de Ciencia e Innovación PID2020-116873GB-I00 and PID2020-114031RB-I00.	en
dc.format.mimetype	application/pdf	en
dc.identifier.citation	Lopez-Fidalgo, J., May, C., & Moler, J. A. (2023). Designing experiments for estimating an appropriate outlet size for a silo type problem. The Annals of Applied Statistics, 17(1). https://doi.org/10.1214/22-AOAS1644	en
dc.identifier.doi	10.1214/22-AOAS1644
dc.identifier.issn	1932-6157
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/45180
dc.language.iso	eng	en
dc.publisher	Institute of Mathematical Statistics	en
dc.relation.ispartof	Annals of Applied Statistics 2023, 17(1)	en
dc.relation.projectID	info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113443RB-C21/ES/	en
dc.relation.projectID	info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-116873GB-I00/ES/	en
dc.relation.projectID	info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-114031RB-I00/ES/	en
dc.relation.publisherversion	https://doi.org/10.1214/22-AOAS1644
dc.rights	© Institute of Mathematical Statistics, 2023	en
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.subject	Bulk solid storage	en
dc.subject	Jam formation	en
dc.subject	Nonlinear heteroscedastic model	en
dc.subject	Optimal design of experiments	en
dc.title	Designing experiments for estimating an appropriate outlet size for a silo type problem	en
dc.type	info:eu-repo/semantics/article
dc.type.version	Versión publicada / Argitaratu den bertsioa	es
dc.type.version	info:eu-repo/semantics/publishedVersion	en
dspace.entity.type	Publication
relation.isAuthorOfPublication	67945315-274c-4bdf-bf3e-45a007cf6fc6
relation.isAuthorOfPublication.latestForDiscovery	67945315-274c-4bdf-bf3e-45a007cf6fc6