Yifei Xiong

Statistical Properties of Nonparametric MLE under Laplace Noise

This work studies the problem of estimating the distribution of the latent confidential data from the privatized observations via the nonparametric maximum likelihood estimator (NPMLE) under an i.i.d. sampling model, and shows that the NPMLE remains consistent when the Laplace noise grows at a rate slower than $n^{3/16...