 ![MSEs of synthetic data under two distributions, where the left is MSE of frequency estimation and the right is MSE of mean estimation. The theoretical MSEs (dashed lines) of PCKV-UE and PCKV-GRR are calculated by Theorem \[thm:estimation\]. When $\epsilon$ is small, the gap between empirical and theoretical results is caused by the correction in the improved estimation (Algorithm \[alg:Estimation\]), while our theoretical MSE is analyzed for the baseline estimation without correction.[]{data-label="fig:synthetic"}](fig0_