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 …
for the change point problem in exponential family regression. An unknown step function is …
Gaussian approximation of suprema of empirical processes
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 …
2014, Vol. 42, No. 4, 1564–1597 DOI: 10.1214/14-AOS1230 © Institute of Mathematical …
Torus principal component analysis with applications to RNA structure
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 © …
Applied Statistics 2018, Vol. 12, No. 2, 1332–1359 https://doi.org/10.1214/17-AOAS1115 © …
Data analysis on nonstandard spaces
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 …
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 …
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 …
scales down to approximately 250 nm. Images from such a microscope are typically blurred …
Multiscale scanning in inverse problems
Supplement to “Multiscale scanning in inverse problems”. This supplementary material
contains an explanation of the full width at half maximum (FWHM), a detailed mathematical …
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 …
Statistics 2023, Vol. 51, No. 3, 1376–1400 https://doi.org/10.1214/23-AOS2298 © Institute of …
MULTIDIMENSIONAL MULTISCALE SCANNING IN EXPONENTIAL FAMILIES
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 …
random variables {Y i} i∈{1,..., n} d, each distributed according to a one-dimensional natural …
Optimal regularized hypothesis testing in statistical inverse problems
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 …
has also been addressed in the context of inverse problems, where the quantity of interest is …