Question: Only need help with part c The following data consists of the times to relapse and the times to death following relapse of 10 bone

Only need help with part c

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 A and the time to death in relapse had a Weibull distribution with parameters 0 and a. Patient Relapse Time Death Time (months) (months) 11 12 12 15 24 33 + DOO VQUIAUNH 32 45 17 28+ 16 + 16+ 17+ 17+ 19+ 19+ 10 30+ 30+ + Censored observation (a) Construct the likelihood for the relapse rate 1. (b) Construct a likelihood for the parameters 0 and a. (c) Suppose we were only allowed to observe a patients death time if the patient relapsed. Construct the likelihood for 0 and a based on this truncated sample, and compare it to the results in (b)

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