IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
On Local Times, Strong Consistency Properties of a Nonparametric Density Estimation and Classi cation Rules for Functional Data
Autor/es:
FORZANI, LILIANA; FRAIMAN, RICARDO; LLOP, PAMELA
Lugar:
Solís, Uruguay
Reunión:
Conferencia; 5º Encuentro Regional de Probabilidad y Estadística Matemática; 2008
Institución organizadora:
Centro Regional de Probabilidad y Estadística Matemática (CENRE)
Resumen:
We define the nonparametric density function estimator of aprocess which is observed in a finite period of time and which is a linear combination of a nonrandom term corresponding to the population average with a processes which haszero mean and a density function invariant for every time. Forthis estimator we obtain strong consistency, strong order ofconvergence and the asymptotic distribution and propose a nonparametric classification rule based on local times (occupationmeasure) for functional data.
