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An EM Gradient Algorithm for Mixture Models with Components Derived from the Manly Transformation

Machine Learning 2025-08-04 v1 Machine Learning Methodology

Abstract

Zhu and Melnykov (2018) develop a model to fit mixture models when the components are derived from the Manly transformation. Their EM algorithm utilizes Nelder-Mead optimization in the M-step to update the skew parameter, λg\boldsymbol{\lambda}_g. An alternative EM gradient algorithm is proposed, using one step of Newton's method, when initial estimates for the model parameters are good.

Keywords

Cite

@article{arxiv.2410.00848,
  title  = {An EM Gradient Algorithm for Mixture Models with Components Derived from the Manly Transformation},
  author = {Katharine M. Clark and Paul D. McNicholas},
  journal= {arXiv preprint arXiv:2410.00848},
  year   = {2025}
}
R2 v1 2026-06-28T19:04:05.083Z