Multiscale change point inference

K Frick, A Munk, H Sieling - … the Royal Statistical Society Series B …, 2014 - academic.oup.com
We introduce a new estimator, the simultaneous multiscale change point estimator SMUCE,
for the change point problem in exponential family regression. An unknown step function is …

Gaussian approximation of suprema of empirical processes

V Chernozhukov, D Chetverikov, K Kato - 2014 - projecteuclid.org
Gaussian approximation of suprema of empirical processes Page 1 The Annals of Statistics
2014, Vol. 42, No. 4, 1564–1597 DOI: 10.1214/14-AOS1230 © Institute of Mathematical …

Torus principal component analysis with applications to RNA structure

B Eltzner, S Huckemann, KV Mardia - 2018 - projecteuclid.org
Torus principal component analysis with applications to RNA structure Page 1 The Annals of
Applied Statistics 2018, Vol. 12, No. 2, 1332–1359 https://doi.org/10.1214/17-AOAS1115 © …

Data analysis on nonstandard spaces

SF Huckemann, B Eltzner - Wiley Interdisciplinary Reviews …, 2021 - Wiley Online Library
The task to write on data analysis on nonstandard spaces is quite substantial, with a huge
body of literature to cover, from parametric to nonparametrics, from shape spaces to …

On the Bernstein–von Mises phenomenon for nonparametric Bayes procedures

I Castillo, R Nickl - 2014 - projecteuclid.org
We continue the investigation of Bernstein–von Mises theorems for nonparametric Bayes
procedures from [Ann. Statist. 41 (2013) 1999–2028]. We introduce multiscale spaces on …

Modern statistical challenges in high-resolution fluorescence microscopy

T Aspelmeier, A Egner, A Munk - Annual Review of Statistics …, 2015 - annualreviews.org
Conventional light microscopes have been used for centuries for the study of small length
scales down to approximately 250 nm. Images from such a microscope are typically blurred …

Multiscale scanning in inverse problems

K Proksch, F Werner, A Munk - 2018 - projecteuclid.org
Supplement to “Multiscale scanning in inverse problems”. This supplementary material
contains an explanation of the full width at half maximum (FWHM), a detailed mathematical …

Coverage of credible intervals in bayesian multivariate isotonic regression

K Wang, S Ghosal - The Annals of Statistics, 2023 - projecteuclid.org
Coverage of credible intervals in Bayesian multivariate isotonic regression Page 1 The Annals of
Statistics 2023, Vol. 51, No. 3, 1376–1400 https://doi.org/10.1214/23-AOS2298 © Institute of …

MULTIDIMENSIONAL MULTISCALE SCANNING IN EXPONENTIAL FAMILIES

C König, A Munk, F Werner - The Annals of Statistics, 2020 - JSTOR
We consider the problem of finding anomalies in ad-dimensional field of independent
random variables {Y i} i∈{1,..., n} d, each distributed according to a one-dimensional natural …

Optimal regularized hypothesis testing in statistical inverse problems

R Kretschmann, D Wachsmuth, F Werner - Inverse Problems, 2023 - iopscience.iop.org
Testing of hypotheses is a well studied topic in mathematical statistics. Recently, this issue
has also been addressed in the context of inverse problems, where the quantity of interest is …