Introducing LASSO-type penalisation to generalised joint regression modelling for count data
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AbstractIn this work, we propose an extension of the versatile joint regression framework for bivariate count responses of the package by Marra and Radice (R package version 0.2-3, 2020) by incorporating an (adaptive) LASSO-type penalty. The underlying estimation algorithm is based on a quadratic approximation of the penalty. The method enables variable selection and the corresponding estimates guarantee shrinkage and sparsity. Hence, this approach is particularly useful in high-dimensional count response settings. The proposal’s empirical performance is investigated in a simulation study and an application on FIFA World Cup football data.
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2019 ◽
Vol 14
(3)
◽
pp. 571-588
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