Affiliations

• Statistics
• Applied Mathematics and Computational Science

Education Profile

• Postdoctoral Fellow, Umeå University, 2012-2013
• Ph.D. Mathematical Statistics, Lund University, 2012
• M.S. Engineering Mathematics, Lund University, 2007

Research Interests

Professor Bolin’s main research interests are stochastic partial differential equations (PDEs) and their applications in statistics, focusing on developing practical, computationally efficient tools for modeling non-stationary and non-Gaussian processes. The Swedish researcher leads the Stochastic Processes and Applied Statistics (StochProc) research group at KAUST (https://stochproc.kaust.edu.sa/publications), which focuses on statistical methodology for stochastic processes and random fields based on stochastic PDEs. This research combines methods from statistics, probability and applied mathematics in order to construct more flexible statistical models and better computational methods for statistical inference. In parallel with the theoretical research, the group works on applications in a wide range of areas, ranging from brain imaging to environmental sciences.

Selected Publications

• D. Bolin, A. Simas and Z. Xiong (2024) Covariance-based rational approximations of fractional SPDEs for computationally efficient Bayesian inference, Journal of Computational and Graphical Statistics, 33(1), 64-74
• D. Bolin, M. Kovács, V. Kumar, A. Simas (2024) Regularity and numerical approximation of fractional elliptic differential equations on compact metric graphs, Mathematics of Computation, 93, 2439-2472
• D. Bolin, A. Simas and J. Wallin (2024) Gaussian Whittle-Matérn fields on metric graphs, Bernoulli, 30(2), 1611–1639
• D. Bolin and J. Wallin (2023), Local Scale Invariance and Robustness of Proper Scoring Rules, Statistical Science, 38:1, 140-159
• K. Kirchner and D. Bolin (2022) Necessary and sufficient conditions for asymptotically optimal linear prediction of random fields on compact metric spaces, Annals of Statistics, 50(2): 1038-1065