Statistical methodology, causal inference, survival analysis, longitudinal data analysis epidemiologic methods, mediation analysis, randomized experiments
Fundamental limits and algorithms for data processing and machine learning. Statistics, discrete probability, learning theory, information theory, algorithms.
Theory and applications of optimization in continuous variables, with a focus on geometry and non-convexity; aspects of numerical analysis and statistical estimation through the lens of optimization and geometry.
Statistics for big and heterogeneous data sets. Analysis of time series, random fields and point processes. Statistics of network data. Ethics of data science.
Development of statistical methodology, investigation of probability models and analysis of data that arise in natural sciences.
Anthony Davison has published on a wide range of topics in statistical theory and methods, and on environmental, biological and financial applications. His current main research interests are statistics of extremes, likelihood asymptotics.