Let T 1 ,T 2 ,...,T n be independent survival times with hazard rate αi(t) for Ti , and introduce the counting processes   a) Let  be known hazard functions (e.g., corresponding to the mortality in...

Let T₁,T₂,...,T_n
be independent survival times with hazard rate αi(t) for Ti , and introduce the counting processes

a) Let
 be known hazard functions (e.g., corresponding to the mortality in the general population). Find the intensity process of the aggregated process

in each of the three situations:

(i)

(ii)

(iii)

b) Which of the three situations in question (a) satisfy the multiplicative intensity model (1.31)?

Chapter 2