PhD
PhD level course
Spatial Statistics (Winter Conference)
Course content
Introduction to spatial data analysis, representing space, interfacing geographical information systems, space-time data, spatial statistics overview (point patterns, geostatistics, areal data). Use of GIS and spatial statistics for radioecological modeling and mapping using Chernobyl- and Fukushima-related data, focusing on public health protection.Advanced Probability and Inference
Content
- Mathematical background (limits, series, order relations and rates of convergence, continuity, sets)
- Measure theoretic foundations of probability (probability triplets, random variables, independence, expected values, change of variable)
- Stochastic convergence (almost sure convergence, convergence in probability, convergence in distribution, laws of large numbers, central limit theorems, non-iid stochastic variables)
- Conditional probability and expectation
- Statistical tests (size and critical values, power, efficiency, asy
Bayesian Learning
The course introduces basic concepts, ideas and methods of Bayesian inference. It is a second-year master's course in the programme 'Statistics and Data Mining', so the focus with be on models and methods in the field of data mining and machine learning, but most of the course content is of general statistical interest. Ph.D. students will be given extra study material and partly a separate examination.
The course will be in English and will be given in the period early September 2012 - late October 2012.
More information will follow as we approach the starting date.
Multi Level modelling
The
aim of the course is to give the students basic knowledge in multilevel
modelling from both theoretical as well as practical side. The course is
designed to help doctoral students in their empirical analysis with multi-level
data. The course will provide an up-to-date overview on the most commonly used
Incomplete data: semi-parametric and Bayesian methods (Winter Conference)
Incomplete data is a common phenomenon in longitudinal studies based on surveys and/or population registers. In such studies individuals are followed through time and data may be incomplete due, e.g., to drop out/attrition (individuals intentionally leave the study, individuals leave the study because they move or die, etc.) and censoring (due to end of study, death, etc). Incomplete data may also arise due to selection mechanisms, for instance, in meta-analyses (publication bias) and causal inference in observational studies.
Statistics for register based research
The course covers the following topics related to register based research:
- Registers, measurement and quality issues
-Causality and inference in observational studies
-Graphical models, multivariate analysis
-Registers, population based studies and surveys, combining different sources of data
Advanced Probability and Inference
Content
- Mathematical background (limits, series, order relations and rates of convergence, continuity, sets)
- Measure theoretic foundations of probability (probability triplets, random variables, independence, expected values, change of variable)
- Stochastic convergence (almost sure convergence, convergence in probability, convergence in distribution, laws of large numbers, central limit theorems, non-iid stochastic variables)
- Conditional probability and expectation
