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.
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
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