Kernel distribution estimation for grouped data
Reyes, Miguel (Universidad de las Américas Puebla. Departamento de Actuaría, Física y Matemáticas)
Francisco-Fernández, Mario (Universidade da Coruña. Departamento de Matemáticas)
Cao, Ricardo (Universidade da Coruña. Departamento de Matemáticas)
Barreiro-Ures, Daniel (Universidade da Coruña. Departamento de Matemáticas)

Date:	2019
Abstract:	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).
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Bootstrap bandwidth ; Cumulative distribution function estimator ; Interval data ; Plug-in bandwidth
Published in:	SORT : statistics and operations research transactions, Vol. 43 Núm. 2 (July-December 2019) , p. 259-288, ISSN 2013-8830

Adreça alternativa: https://raco.cat/index.php/SORT/article/view/361420
DOI: 10.2436/20.8080.02.88

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