Decomposition of maximum likelihood in mixed graphical interaction models

M FRYDENBERG; Steffen L. Lauritzen

doi:10.1093/biomet/76.3.539

Decomposition of maximum likelihood in mixed graphical interaction models

50 Citationer (Scopus)

Abstract

We show how decompositions of marked graphs induce corresponding decompositions of maximum likelihood estimates in mixed graphical interaction models. We use this result to obtain explicit formulae for the estimates in decomposable models and to obtain factorizations of likelihood ratio statistics.

Originalsprog	Engelsk
Tidsskrift	Biometrika
Vol/bind	76
Udgave nummer	3
Sider (fra-til)	539-555
Antal sider	17
ISSN	0006-3444
DOI	https://doi.org/10.1093/biomet/76.3.539
Status	Udgivet - 1989
Udgivet eksternt	Ja

Adgang til dokumentet

10.1093/biomet/76.3.539

Citationsformater

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abstract = "We show how decompositions of marked graphs induce corresponding decompositions of maximum likelihood estimates in mixed graphical interaction models. We use this result to obtain explicit formulae for the estimates in decomposable models and to obtain factorizations of likelihood ratio statistics.",

author = "M FRYDENBERG and Lauritzen, {Steffen L.}",

year = "1989",

doi = "10.1093/biomet/76.3.539",

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AU - Lauritzen, Steffen L.

PY - 1989

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DO - 10.1093/biomet/76.3.539

M3 - Journal article

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JO - Biometrika

JF - Biometrika

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