Consistency of the conditional median for functional data under long-memory condition
Nengxiang Ling · Journal of Hefei University of Technology · 2010
This paper studies the nonparametric estimation of conditional median when the explanatory variable takes values in certain Abstract functional space.The kernel estimation is conducted by the functional data under long-memory condition and the consistency of the estimator is constructed under certain condition.Then the convergence of the kernel estimation of conditional quantile based on functional data under long-memory condition is presented.