354 citations · 390 across the 12 of their papers we have counts for
14 papers
Non-uniform bounds and Edgeworth expansions in self-normalized limit theorems
Pascal Beckedorf, Angelika Rohde
We study Edgeworth expansions in limit theorems for self-normalized sums. Non-uniform bounds for expansions in the central limit theorem are established while only imposing minimal…
Sharp adaptive and pathwise stable similarity testing for scalar ergodic diffusions
Johannes Brutsche, Angelika Rohde
Within the nonparametric diffusion model, we develop a multiple test to infer about similarity of an unknown drift to some reference drift : At prescribed significance, we…
A central limit theorem concerning uncertainty in estimates of individual admixture
Peter Pfaffelhuber, Angelika Rohde
The concept of individual admixture (IA) assumes that the genome of individuals is composed of alleles inherited from ancestral populations. Each copy of each allele has the sa…
Interactive versus non-interactive locally differentially private estimation: Two elbows for the quadratic functional
Cristina Butucea, Angelika Rohde, Lukas Steinberger
Local differential privacy has recently received increasing attention from the statistics community as a valuable tool to protect the privacy of individual data owners without the…
Geometrizing rates of convergence under local differential privacy constraints
Angelika Rohde, Lukas Steinberger
We study the problem of estimating a functional of an unknown probability distribution in which the original iid sample is…
Locally Adaptive Confidence Bands
Tim Patschkowski, Angelika Rohde
We develop honest and locally adaptive confidence bands for probability densities. They provide substantially improved confidence statements in case of inhomogeneous smoothness, an…