d patients 7–10 were alive, free of relapse at the end of the study. ppose the time to relapse had an exponential distribution with hazard e 1 and the time to death in relapse had a Weibull distribution with rameters 0 and a. Relapse Time (months) Patient Death Time (months) 1 5 11 2 8 12 3 12 15 33* 45 4 24 32 17 28+ 7 16+ 16+ 8. 17+ 17+ 9 19+ 19+ 10 30+ 30+ + Censored observation
-
The following data consists of the times to relapse and the times to death following relapse of 10 bone marrow transplant patients. In the sample patients 4 and 6 were alive in relapse at the end of the study and patients 7–10 were alive, free of relapse at the end of the study. Suppose the time to relapse had an exponential distribution with hazard rate lambda and the time to death in relapse had a Weibull distribution with parameters theta and alpha
(a) Construct the likelihood for the relapse rate lambda.
(c) Suppose we were only allowed to observe a patients death time if the patient relapsed. Construct the likelihood for theta and alpha based on this truncated sample
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
