Improving density estimators of discretely observed processes by interpolation |
| |
Authors: | Martin Sköld |
| |
Institution: | Department of Statistics, Örebro University, SE-70182 Örebro, Sweden |
| |
Abstract: | We consider density estimation for a smooth stationary process Xt, t∈R, based on a discrete sample Yi=XΔi, i=0,…,n=T/Δ. By a suitable interpolation scheme of order p , we augment data to form an approximation Xp,t, t∈0,T], of the continuous-time process and base our density estimate on the augmented sample path. Our results show that this can improve the rate of convergence (measured in terms of n) of the density estimate. Among other things, this implies that recording n observations using a small Δ can be more efficient than recording n independent observations. |
| |
Keywords: | Non-parametric Density estimation Stochastic processes Interpolation |
本文献已被 ScienceDirect 等数据库收录! |
|