dc.creator | Jiménez Gamero, María Dolores | es |
dc.creator | Franco Pereira, Alba M. | es |
dc.date.accessioned | 2022-06-30T09:17:35Z | |
dc.date.available | 2022-06-30T09:17:35Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Jiménez Gamero, M.D. y Franco Pereira, A.M. (2021). Testing the equality of a large number of means of functional data. Journal of Multivariate Analysis, 185, 1-18. | |
dc.identifier.issn | 0047-259X | es |
dc.identifier.uri | https://hdl.handle.net/11441/134830 | |
dc.description.abstract | Given k independent samples of functional data, this paper deals with the problem of
testing for the equality of their mean functions. In contrast to the classical setting, where
k is kept fixed and the sample size from each population increases without bound, here
k is assumed to be large and the size of each sample is either bounded or small in
comparison to k. A new test is proposed. The asymptotic distribution of the test statistic
is stated under the null hypothesis of equality of the k mean functions as well as under
alternatives, which allows us to study the consistency of the test. Specifically, it is shown
that the test statistic is asymptotically free distributed under the null hypothesis. The
finite sample performance of the test based on the asymptotic null distribution is studied
via simulation. Although we start by assuming that the data are functions, the proposed
test can also be applied to finite dimensional data. The practical behavior of the test for
one dimensional data is numerically studied and compared with other tests. | es |
dc.format | application/pdf | es |
dc.format.extent | 18 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Multivariate Analysis, 185, 1-18. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Asymptotic normality | es |
dc.subject | Consistency | es |
dc.subject | Finite dimensional data | es |
dc.subject | Functional data | es |
dc.subject | Testing the equality of means | es |
dc.title | Testing the equality of a large number of means of functional data | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa, | es |
dc.relation.publisherversion | https://doi.org/10.1016/j.jmva.2021.104778 | es |
dc.identifier.doi | 10.1016/j.jmva.2021.104778 | es |
dc.journaltitle | Journal of Multivariate Analysis | es |
dc.publication.volumen | 185 | es |
dc.publication.initialPage | 1 | es |
dc.publication.endPage | 18 | es |