Inverting Random Functions III: Discrete MLE Revisited
Probability
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0608273,
title = {Inverting Random Functions III: Discrete MLE Revisited},
author = {Mike A. Steel and Laszlo A. Szekely},
journal= {arXiv preprint arXiv:math/0608273},
year = {2007}
}