Exercise: a) Derive the maximum likelihood estimate (MLE) and estimate its variance for the Weibull distribution with right-censored data. b) Simulate a data set of n = 100 from the Weibull distribution with A = 1, K = 2, and uniform (0,7) censoring. Play with values of 7 so that about 20% of the observations are censored. c) Find an R function/package that can calculate the MLE of the Weibull distribution with right-censored data [Hint: try mle() in package 'stats4', or you may write your own function], apply it to the data you generated in part b); be sure to provide the standard error of your estimate.

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Exercise:
a) Derive the maximum likelihood estimate (MLE) and estimate its variance for the
Weibull distribution with right-censored data.
=
b) Simulate a data set of n 100 from the Weibull distribution with λ = 1, K = 2, and
A k
uniform (0,7) censoring. Play with values of 7 so that about 20% of the observations are
censored.
c) Find an R function/package that can calculate the MLE of the Weibull distribution
with right-censored data [Hint: try mle() in package ‘stats4', or you may write your own
function], apply it to the data you generated in part b); be sure to provide the standard
error of your estimate.
Transcribed Image Text:Exercise: a) Derive the maximum likelihood estimate (MLE) and estimate its variance for the Weibull distribution with right-censored data. = b) Simulate a data set of n 100 from the Weibull distribution with λ = 1, K = 2, and A k uniform (0,7) censoring. Play with values of 7 so that about 20% of the observations are censored. c) Find an R function/package that can calculate the MLE of the Weibull distribution with right-censored data [Hint: try mle() in package ‘stats4', or you may write your own function], apply it to the data you generated in part b); be sure to provide the standard error of your estimate.
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