Hi In ch.3 Section6 (The Poisson model) P.27 Sample Question, about a mortality investigation covering 5-year period with 7500 population
the cEx is taken as 7500*5
However, since cEx is another notation for observed waiting time v = sum(1,n):vi, from my understanding, unless there is no decrement and everyone survives to the end of 5-year period, cEx should be less than 7500*5
I am wondering why cEx is taken as (bi - ai)*n ? instead of sum(1,n):vi ? If it is due to approximation, why cEx is not even E(V)?
Thanks a lot for help!!
the cEx is taken as 7500*5
However, since cEx is another notation for observed waiting time v = sum(1,n):vi, from my understanding, unless there is no decrement and everyone survives to the end of 5-year period, cEx should be less than 7500*5
I am wondering why cEx is taken as (bi - ai)*n ? instead of sum(1,n):vi ? If it is due to approximation, why cEx is not even E(V)?
Thanks a lot for help!!