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Inverting Random Functions III: Discrete MLE Revisited

概率论 2007-05-23 v1

摘要

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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引用

@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}
}