An exact algorithm for estimating breakpoints in segmented generalized linear models

Küchenhoff, Helmut (1996): An exact algorithm for estimating breakpoints in segmented generalized linear models. Collaborative Research Center 386, Discussion Paper 27

Abstract

We consider the problem of estimating the unknown breakpoints in segmented generalized linear models. Exact algorithms for calculating maximum likelihood estimators are derived for different types of models. After discussing the case of a GLM with a single covariate having one breakpoint a new algorithm is presented when further covariates are included in the model. The essential idea of this approach is then used for the case of more than one breakpoint. As further extension an algorithm for the situation of two regressors each having a breakpoint is proposed. These techniques are applied for analysing the data of the Munich rental table. It can be seen that these algorithms are easy to handle without too much computational effort. The algorithms are available as GAUSS-programs.

• Item Type: Paper (Research Paper)
• Subjects: Mathematics, Computer Science and Statistics; Mathematics, Computer Science and Statistics > Statistics; Mathematics, Computer Science and Statistics > Statistics > Collaborative Research Center 386
• Dewey Classification: 600 Natural sciences and mathematics; 600 Natural sciences and mathematics > 510 Mathematics