Consider the Pareto frailty distribution as a special case of the Kummer distribution by inserting η = 1 and ν = 0 into formula XXXXXXXXXXShow that the Pareto density is   If individual i has had Di•...

Consider the Pareto frailty distribution as a special case of the Kummer distribution by inserting η = 1 and ν = 0 into formula (7.14). Show that the Pareto density is
  If individual i has had Di• = 5 events with a total cumulative hazard Vi = 10, then what is the conditional distribution of the frailty? Draw plots of the unconditional and conditional frailty distributions in the same diagram.

Prove formula (7.19). From Chapter 6, write the probability density of the PVF distribution with m = 1. Compute the density and make plots for various parameter values.

Chapter 8