WITHDRAWN: Semiparametric Functional Response Model with Incompletely Observed Functional Data
Jin YANG, Phd student
Keywords: Incompletely observed functional data, Functional response model, Conditional mean function, Conditional covariance function.
In functional data analysis, functional data are often assumed to be fully observed on the domain. However, in dealing with real data(for example, environmental pollution data), we are often faced with the scenario that some functional data are fully observed and others are incompletely observed. The purpose of this paper is to propose a model where the predictor is a vector or scalar and the response is a random trajectory. This model incorporate the in uence of the predictor both through the mean response function and by means of covariance function for this type functional data. Some asymptotic results of the proposed methods are established. Numerical studies clearly confirm the established theories.