Revistes Publicacions URV: SORT - Statistics and Operations Research Transactions2019

Kernel distribution estimation for grouped data

  • Datos identificativos

    Identificador:  RP:4692
    Handle: https://hdl.handle.net/20.500.11797/RP4692
    Autores:  Barreiro-Ures, Daniel; Cao, Ricardo; Francisco-Fernández, Mario; Reyes, Miguel
    Resumen:
    Interval-grouped data appear when the observations are not obtained in continuous time, but monitored in periodical time instants. In this framework, a nonparametric kernel distribution estimator is proposed and studied. The asymptotic bias, variance and mean integrated squared error of the new approach are derived. From the asymptotic mean integrated squared error, a plug-in bandwidth is proposed. Additionally, a bootstrap selector to be used in this context is designed. Through a comprehensive simulation study, the behaviour of the estimator and the bandwidth selectors considering different scenarios of data grouping is shown. The performance of the different approaches is also illustrated with a real grouped emergence data set of Avena sterilis (wild oat).

  • Otros:

    Autor según el artículo: Barreiro-Ures, Daniel; Cao, Ricardo; Francisco-Fernández, Mario; Reyes, Miguel
    Palabras clave: Bootstrap bandwidth
    Resumen: Interval-grouped data appear when the observations are not obtained in continuous time, but monitored in periodical time instants. In this framework, a nonparametric kernel distribution estimator is proposed and studied. The asymptotic bias, variance and mean integrated squared error of the new approach are derived. From the asymptotic mean integrated squared error, a plug-in bandwidth is proposed. Additionally, a bootstrap selector to be used in this context is designed. Through a comprehensive simulation study, the behaviour of the estimator and the bandwidth selectors considering different scenarios of data grouping is shown. The performance of the different approaches is also illustrated with a real grouped emergence data set of Avena sterilis (wild oat).
    Año de publicación de la revista: 2019
    Tipo de publicación: ##rt.metadata.pkp.peerReviewed##; info:eu-repo/semantics/publishedVersion; info:eu-repo/semantics/article