Convergence rate of principal component analysis with local-linear smoother for functional data under a unified weighing scheme

Figures & data

Figure 1. This is for the ‘OBS’ case. The top two panels present the values of ${\delta }_{{\lambda }_1}$ and ${\delta }_{{\lambda }_2}$ for 200 replications as n increases, respectively. The bottom two panels present the values of ${\delta }_{{\phi }_1\left(t\right)}$ and ${\delta }_{{\phi }_2\left(t\right)}$ for 200 replications as n increases, respectively.

Figure 2. This is for the ‘SUBJ’ case. The top two panels present the values of ${\delta }_{{\lambda }_1}$ and ${\delta }_{{\lambda }_2}$ for 200 replications as n increases, respectively. The bottom two panels present the values of ${\delta }_{{\phi }_1\left(t\right)}$ and ${\delta }_{{\phi }_2\left(t\right)}$ for 200 replications as n increases, respectively.

Figure 3. Plots of ${\delta }_{{\sigma }^2}$ for ‘OBS’ (the left panel) and ‘SUBJ’ (the right panel), respectively.