Reyes, MiguelFrancisco-Fernández, MarioCao, RicardoBarreiro-Ures, Daniel2023-11-272023-11-272019Reyes, M. [et al.]. Kernel distribution estimation for grouped data. Sort: Statistics and Operations Research Transactions, 2019, Vol. 43, Nº. 2, 2019, p. 259-2881696-2281http://hdl.handle.net/2183/34341[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 esti- mator 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 se- lectors 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).engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Bootstrap bandwidthCumulative distribution function estimatorInterval dataPlug-in bandwidthjournal articleopen access10.2436/20.8080.02.88