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Paper · arXiv

Semi-structured multi-state delinquency model for mortgage default

We propose a semi-structured discrete-time multi-state model to analyse mortgage delinquency transitions. This model combines an easy-to-understand structured additive predictor, which includes linear effects and smooth functions of time and covariates, with a flexible neural network component that captures complex nonlinearities and higher-order interactions. To ensure identifiability when covariates are present in both components, we orthogonalise the unstructured part relative to the structured design. For discrete-time competing transitions, we derive exact transformations that map binary logistic models to valid competing transition probabilities, avoiding the need for continuous-tim...

AuthorsVictor Medina-Olivares, Wangzhen Xia, Stefan Lessmann et al.
Primary categorystat.AP
Published27 March 2026
Last updated at source27 March 2026
stat.APcs.LGq-fin.RM
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