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

Fuente: arXiv
Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Clark, Katharine M., McNicholas, Paul D.
Format: Preprint
Veröffentlicht: 2024
Schlagworte:
Online-Zugang:
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
_version_ 1866912513867644928
author Clark, Katharine M.
McNicholas, Paul D.
author_facet Clark, Katharine M.
McNicholas, Paul D.
contents 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, $\boldsymbolλ_g$. An alternative EM gradient algorithm is proposed, using one step of Newton's method, when initial estimates for the model parameters are good.
format Preprint
id arxiv_https___arxiv_org_abs_2410_00848
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle An EM Gradient Algorithm for Mixture Models with Components Derived from the Manly Transformation
Clark, Katharine M.
McNicholas, Paul D.
Machine Learning
Methodology
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, $\boldsymbolλ_g$. An alternative EM gradient algorithm is proposed, using one step of Newton's method, when initial estimates for the model parameters are good.
title An EM Gradient Algorithm for Mixture Models with Components Derived from the Manly Transformation
topic Machine Learning
Methodology
url https://arxiv.org/abs/2410.00848