作者
Nancy L Garcia, Mariana Rodrigues-Motta, Helio S Migon, Eva Petkova, Thaddeus Tarpey, R Todd Ogden, Julio O Giordano, Martin M Perez
发表日期
2024/6
期刊
Journal of the Royal Statistical Society Series C: Applied Statistics
卷号
73
期号
3
页码范围
658-681
出版商
Oxford University Press
简介
We consider unsupervised classification by means of a latent multinomial variable which categorizes a scalar response into one of the L components of a mixture model which incorporates scalar and functional covariates. This process can be thought as a hierarchical model with the first level modelling a scalar response according to a mixture of parametric distributions and the second level modelling the mixture probabilities by means of a generalized linear model with functional and scalar covariates. The traditional approach of treating functional covariates as vectors not only suffers from the curse of dimensionality, since functional covariates can be measured at very small intervals leading to a highly parametrized model, but also does not take into account the nature of the data. We use basis expansions to reduce the dimensionality and a Bayesian approach for estimating the parameters while providing …
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NL Garcia, M Rodrigues-Motta, HS Migon, E Petkova… - Journal of the Royal Statistical Society Series C …, 2024