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  3. Mathematik, Informatik und Statistik - Open Access LMU - Teil 01/03 Podcast
  4. Asymptotics for generalized linear segmented regression models with an unknown breakpoint
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.

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