Book Chapter

Efficient ungrouping of coarse histograms with the penalized composite link model

Rizzi, S., Gampe, J., Eilers, P. H. C.

In: Muggeo, V. M. R., Capursi, V., Boscaino, G., Lovison, G. (Eds.): Proceedings of the 28th International Workshop on Statistical Modelling, Palermo 8 - 12 July, 2013: volume 2, 757-760 (2013)
Palermo, Italy: Università di Palermo, Dipartimento di Scienze Statistiche e Matematiche.

ISBN 978-88-96251-49-2 (Vol. 2), 978-88-96251-47-8 (Vol. 1)


Data grouped in relatively wide histogram bins are frequently encountered in practice. Here, in particular, grouped data by age are considered. We propose a penalized composite link model to estimate smooth densities by single years of age when data are provided in coarse age classes only. The performance of the model is examined in two applications: the first one illustrates mortality trajectories by age and the second studies simulated patterns of age at first marriage.