Article

Statistical Properties of Nonparametric MLE under Laplace Noise

Local differential privacy (LDP) protects individuals in a dataset by perturbing each measurement before release. For real-valued data, a widely used mechanism is additive Laplace …

yifei-xiong

Learning mixed-infection strains from older hosts: a new sampling scheme for malaria epidemiology and population genetics

td;dr: In this study, we investigate the impact of host age on the inference accuracy of malaria parasite strains and diversity structure, and propose the best age group sampling …

jiawei-liu

SOMA: A Novel Sampler for Bayesian Inference from Privatized Data

Making valid statistical inferences from privatized data is a key challenge in modern analysis. In Bayesian settings, data augmentation MCMC (DAMCMC) methods impute unobserved …

yifei-xiong

Statistical Inference for Privatized Data with Unknown Sample Size

We develop both theory and algorithms to analyze privatized data in the unbounded differential privacy(DP), where even the sample size is considered a sensitive quantity that …

jordan-a.-awan

A simple Markov chain for independent Bernoulli variables conditioned on their sum

We consider a vector of $N$ independent binary variables, each with a different probability of success. The distribution of the vector conditional on its sum is known as the …

jeremy-heng