Inverting Random Functions III: Discrete MLE Revisited

Details Inverting Random Functions III: Discrete MLE Revisited Inverting Random Functions III: Discrete MLE Revisited

2006-08-10

arxiv.org/abs/math/0608273v1

Mathematics

Probability

Scientific paper

This paper continues our earlier investigations into the inversion of random functions in a general (abstract) setting. In Section 2 we investigate a concept of invertibility and the invertibility of the composition of random functions. In Section 3 we resolve some questions concerning the number of samples required to ensure the accuracy of parametric maximum likelihood estimation (MLE). A direct application to phylogeny reconstruction is given.

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