Author/Authors :
Chaubey, Yogendra P. Concordia University - Department of Mathematics and Statistics, Canada , Doosti, Hassan islamic azad university - Faculty of Science - Department of Statistics, مشهد, ايران , Shirazi, Esmaeel ferdowsi university of mashhad - Department of Statistics, مشهد, ايران , Prakasa Rao, B. L. S. University of Hyderabad - Department of Mathematics and Statistics, India
Abstract :
In this paper we consider estimation of the derivative of a density based on wavelets methods using randomly right censored data. We extend the results regarding the asymptotic convergence rates due to Prakasa Rao (1996) and Chaubey et ale (2008) under random censorship model. Our treatment is facilitated by results of Stute (1995) and Li (2003) that enable us in demonstrating that the same convergence rates are achieved as in Prakasa Rao (1996) and Chaubey et ale (2008).
Keywords :
Besove space , censored data , nonparametric estimation of derivative of a density , wavelets
