@techreport{KuechenhoffWellisch1997, author = {K{\"u}chenhoff, H. and Wellisch, Ulrich}, title = {Asymptotics for generalized linear segmented regression models with an unknown breakpoint}, year = {1997}, abstract = {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.}, language = {en} }