## Binary models for marginal independence (2005)

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by
Mathias Drton
,
Thomas S. Richardson

Venue: | JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B |

Citations: | 16 - 2 self |

### BibTeX

@TECHREPORT{Drton05binarymodels,

author = {Mathias Drton and Thomas S. Richardson},

title = {Binary models for marginal independence},

institution = {JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B},

year = {2005}

}

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### Abstract

A number of authors have considered multivariate Gaussian models for marginal independence. In this paper we develop models for binary data with the same independence structure. The models can be parameterized based on Möbius inversion and maximum likelihood estimation can be performed using a version of the Iterated Conditional Fitting algorithm. The approach is illustrated on a simple example. Relations to multivariate logistic and dependence ratio models are discussed.