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Modelling beyond regression functions: An application of multimodal regression to speed-flow data (2006)
Journal Article
Einbeck, J., & Tutz, G. (2006). Modelling beyond regression functions: An application of multimodal regression to speed-flow data. Journal of the Royal Statistical Society: Series C, 55(4), 461-475. https://doi.org/10.1111/j.1467-9876.2006.00547.x

For speed–flow data, which are intensively discussed in transportation science, common nonparametric regression models of the type y=m(x)+noise turn out to be inadequate since simple functional models cannot capture the essential relationship between... Read More about Modelling beyond regression functions: An application of multimodal regression to speed-flow data.

The fitting of multifunctions: an approach to nonparametric multimodal regression (2006)
Conference Proceeding
Einbeck, J., & Tutz, G. (2006). The fitting of multifunctions: an approach to nonparametric multimodal regression. In A. Rizzi, & M. Vichi (Eds.), COMPSTAT 2006 : proceedings in computational statistics, 17th symposium held in Rome, Italy, 2006 (1251-1258)

In the last decades a lot of research has been devoted to smoothing in the sense of nonparametric regression. However, this work has nearly exclusively concentrated on fitting regression functions. When the conditional distribution of y|x is multimod... Read More about The fitting of multifunctions: an approach to nonparametric multimodal regression.

Analyzing Irish suicide rates with mixture models (2006)
Conference Proceeding
Sofroniou, N., Einbeck, J., Hinde, J., & Newell, J. (2006). Analyzing Irish suicide rates with mixture models. In Proceedings of the 21st International Workshop on Statistical Modelling: IWSM 2006, 3-7 July 2006, Galway, Ireland (474-481)

In the analysis of morbidity and mortality data, variance component models are commonly used to provide an improvement in the estimation of rates for small regions which typically show large variability. This article investigates Irish suicide data u... Read More about Analyzing Irish suicide rates with mixture models.

A note on NPML estimation for exponential family regression models with unspecified dispersion parameter (2006)
Journal Article
Einbeck, J., & Hinde, J. (2006). A note on NPML estimation for exponential family regression models with unspecified dispersion parameter. Austrian Journal of Statistics, 35(2&3), 233-243

Nonparametric maximum likelihood (NPML) estimation for exponential families with unspecified dispersion parameter \phi suffers from computational instability, which can lead to highly fluctuating EM trajectories and suboptimal solutions, in particula... Read More about A note on NPML estimation for exponential family regression models with unspecified dispersion parameter.