Küchenhoff, Helmut; Wellisch, U.
Asymptotics for generalized linear segmented regression models with an unknown breakpoint.
Collaborative Research Center 386, Discussion Paper 83
We consider asymptotic theory for the maximum likelihood estimator in the generalized linear model with an unknown breakpoint. A proof for the asymptotic normality is given. The methods are based on the work of Huber (1967). The main problem is the non--differentiability of the likelihood and the score function, which requires non--standard methods. An example from epidemiology is presented, where confidence intervals for the parameters are calculated with the asymptotic results.