Composite likelihood methods for parsimonious model-based clustering of mixed-type data
Monia Ranalli () and
Roberto Rocci ()
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Monia Ranalli: Sapienza University of Rome
Roberto Rocci: Sapienza University of Rome
Advances in Data Analysis and Classification, 2024, vol. 18, issue 2, No 7, 407 pages
Abstract:
Abstract In this paper, we propose twelve parsimonious models for clustering mixed-type (ordinal and continuous) data. The dependence among the different types of variables is modeled by assuming that ordinal and continuous data follow a multivariate finite mixture of Gaussians, where the ordinal variables are a discretization of some continuous variates of the mixture. The general class of parsimonious models is based on a factor decomposition of the component-specific covariance matrices. Parameter estimation is carried out using a EM-type algorithm based on composite likelihood. The proposal is evaluated through a simulation study and an application to real data.
Keywords: Mixture models; Factor analyzers; Composite Likelihood; EM algorithm; Mixed-type data; 62-07; 62H25; 62H30 (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:advdac:v:18:y:2024:i:2:d:10.1007_s11634-023-00539-5
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DOI: 10.1007/s11634-023-00539-5
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