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Humboldt-Universität zu Berlin - Statistics

Humboldt-Universität zu Berlin | School of Business and Economics | Statistics | News | Paper "Boosting Functional Response Models for Location, Scale and Shape with an Application to Bacterial Competition" by Stöcker, Brockhaus, Schaffer, von Bronk, Opitz and Greven accepted

Paper "Boosting Functional Response Models for Location, Scale and Shape with an Application to Bacterial Competition" by Stöcker, Brockhaus, Schaffer, von Bronk, Opitz and Greven accepted

The paper "Boosting Functional Response Models forLocation, Scale and Shape with an Application to Bacterial Competition" by Almond Stöcker, Sarah Brockhaus, Sophia Anna Schaffer, Benedikt von Bronk, Madeleine Opitz, and Sonja Greven has been accepted by Statistical Modelling (preprint at arxiv).

Abstract: We extend Generalized Additive Models for Location, Scale, and Shape (GAMLSS) to regression with functional response. This allows us to simultaneously model point-wise mean curves, variances and other distributional parameters of the response in dependence of various scalar and functional covariate effects. In addition, the scope of distributions is extended beyond exponential families. The model is fitted via gradient boosting, which offers inherent model selection and is shown to be suitable for both complex model structures and highly auto-correlated response curves. This enables us to analyze bacterial growth in Escherichia coli in a complex interaction scenario, fruitfully extending usual growth models.