Homogeneity test for functional data

In the context of functional data analysis, we propose new two sample tests for homogeneity. Based on some well-known depth measures, we construct four different statistics in order to measure distance between the two samples. A simulation study is performed to check the efficiency of the tests when...

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Detalles Bibliográficos
Autores: Flores Díaz, Ramón Jesús, Lillo Rodríguez, Rosa Elvira, Romo Urroz, Juan
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2017
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/62685
Acceso en línea:http://hdl.handle.net/11441/62685
https://doi.org/10.1080/02664763.2017.1319470
Access Level:acceso abierto
Palabra clave:Functional depth
Homogeneity
FDA
Descripción
Sumario:In the context of functional data analysis, we propose new two sample tests for homogeneity. Based on some well-known depth measures, we construct four different statistics in order to measure distance between the two samples. A simulation study is performed to check the efficiency of the tests when confronted with shape and magnitude perturbation. Finally, we apply these tools to measure the homogeneity in some samples of real data, obtaining good results using this new method.