Abstract
Standard parametric regression models are unsuitable when the aim is to predict a bounded continuous response, such as a proportion/percentage or a rate. A possible
solution is the fexible beta regression model which is based on a special mixture of betas designed to cope with (though not limited to) bimodality, heavy tails, and
outlying observations. This work introduces such a model in the case of a functional covariate, motivated by a spectrometric analysis on milk specimens. Estimation
issues are dealt with through a combination of standard basis expansion and Markov chains Monte Carlo techniques. Specifcally, the selection of the most signifcant
coefcients of the expansion is done through Bayesian variable selection methods that take advantage of shrinkage priors. The efectiveness of the proposal is illustrated with simulation studies and the application on spectrometric data.
Lingua originale | Inglese |
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pagine (da-a) | 623-645 |
Numero di pagine | 23 |
Rivista | Computational Statistics |
Volume | 38 |
DOI | |
Stato di pubblicazione | Pubblicato - 2023 |
Keywords
- Bayesian variable selection
- Beta mixture model
- Bounded response
- Functional data
- MCMC