Lukas Arnroth, PhD
Currently, I am a postdoctoral researcher in the Vickovic lab, focusing on Bayesian inference in spatial transcriptomics.
I hold a PhD from the Department of Statistics at Uppsala University. My doctoral thesis explores the exponential power class and addresses topics such as linear mixed models, quantile regression, and Bayesian density estimation.
My additional research interests include spatial statistics and extreme value analysis.
📖 Peer-reviewed publications
- Arnroth, L., and Shaobo, J. (2024), "Posterior rates of convergence for composite quantile regression" , Communications in Statistics - Theory and Methods
- Arnroth, L. (2024), "Composite Lp-quantile regression", Metrika
- Arnroth, L., and Vegelius, J. (2023), "Quantile regression based on the skewed exponential power distribution", Communications in Statistics - Simulation and Computation
- Ahmad, R., and Arnroth, L. (2022), "Neyman's C(α) test for the shape parameter of the exponential power class", Journal of Statistical Computation and Simulation
- Ahmad, R., and Arnroth, L. (2022), "A robustness evaluation of Bayesian tests for longitudinal data", Communications in Statistics - Theory and Methods
- Arnroth, L., Persson, I., and Thulin, M. (2019), "Multivariate two-sample permutation tests for trials with multiple time-to-event outcomes", Pharmaceutical statistics
🚧 Work in progress
- Modeling spatial multiomic data with INLA (with Sanja Vickovic)
- Spatial extreme values based on the multivariate exponential power distribution (with Alexander Engberg)