A kernel regression procedure in the 3D shape space with an application to online sales of children's wear
Ver/ Abrir
Metadatos
Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7036
comunitat-uji-handle3:10234/8620
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
A kernel regression procedure in the 3D shape space with an application to online sales of children's wearFecha de publicación
2019Editor
Institute of Mathematical Statistics (IMS)ISSN
0883-4237; 2168-8745Cita bibliográfica
Quintana-Ortí, Gregorio; Simó Amelia. A Kernel Regression Procedure in the 3D Shape Space with an Application to Online Sales of Children’s Wear. Statistical Science, 2019, vol. 34, núm. 2, p. 236-252Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://projecteuclid.org/euclid.ss/1563501640#abstractVersión
info:eu-repo/semantics/submittedVersionPalabras clave / Materias
Resumen
Shape regression is of key importance in many scienti c elds. In this paper,
we focus on the case where the shape of an object is represented by a con-
guration matrix of landmarks. It is well known that this shape ... [+]
Shape regression is of key importance in many scienti c elds. In this paper,
we focus on the case where the shape of an object is represented by a con-
guration matrix of landmarks. It is well known that this shape space has
a nite-dimensional Riemannian manifold structure (non-Euclidean) which
makes it di cult to work with. Papers about regression on this space are
scarce in the literature. The majority of them are restricted to the case of a
single explanatory variable, usually time or age, and many of them work in
the approximated tangent space. In this paper we adapt the general method
for kernel regression analysis in manifold-valued data proposed by Davis et al
(2007) to the three-dimensional case of Kendall's shape space and generalize
it to multiple explanatory variables. We also propose bootstrap con dence
intervals for prediction. A simulation study is carried out to check the goodness
of the procedure, and nally it is applied to a 3D database obtained from
an anthropometric survey of the Spanish child population with a potential
application to online sales of children's wear. [-]
Publicado en
Statistical Science, 2019, vol. 34, núm. 2, p. 236-252Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Aparece en las colecciones
- MAT_Articles [745]
- ICC_Articles [413]