Many different models have been proposed for a statistical interpretation of mixed DNA profiles. Regardless of the model, a computational bottleneck lies in the necessity to handle the large set of possible combinations of DNA profiles for the contributors to the DNA sample.
I will explain how models can be specified in a very general setup that makes it simple to compute both the likelihood and many other quantities that are crucial to a thorough statistical analysis. Notably all computations in this setup are exact, whilst still efficient.
I have used this setup to implement the statistical software package DNAmixtures.
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