Hi all,
In statistical modelling of an insurance problem, I wanted to model
the relation between the some premium and the death incidents in a
sample pool, consisting of say, 100, subjects.
The model has a Poisson process as one of its component. Now we are
looking at the problem of estimation the parameters of this model.
The problem is that there is no death event in our data sample. Does
that render the Poisson component of the model unidentifiable?
I guess this is also a model-comparison problem -- with no event of
death, can I distinguish between a model with the counting(Poisson)
component vs. a model with no counting (Poisson) component? Does the
information about "no death or no counts" is itself some information
for identifying the counting model?
Thanks!
