Question

3.6 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 θ and α Relapse Time (months) Death Time (months) Patient 12 24 32 17 12 15 337 45 28+ 17+ 19 30+ 17+ 19 30+ 8 Censored observation (b) Construct a likelihood for the parameters θ and α (c) Suppose we were only allowed to observe a patients death time if the patient relapsed. Construct the likelihood for θ and α based on this truncated sample, and compareit to the results in (b)

Please show me the R code or process of c). Thanks

Answer 1

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se ca Simpliy this equation of '디 5 EL (c) suppos e use ses only alloused to obsevve a Patients death imethe Potient etopsed seere ony allowed to observe a the lkel:hood o ond t based on ks tun coted Somple is ol- as tioncoted Som ple o cerhood