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, asymptoti
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)
