Petter Mostad's main focus of interest is Bayesian statistics. He has worked with graphical models and neural networks, but also with a number of application areas such as forensic genetics, forensic statistics, and biostatistics/bioinformatics, and earlier also within geostatistics. A particular area of work is likelihood computations for pedigrees, which are used for example in paternity DNA testing. He has co-published the free software Familias, and also several R packages.
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