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Consider a type I censored sample from the exponential distr...


Consider a type I censored sample from the exponential distribution with censoring time c common to all η individuals on test. Show that the total number of failures, D, has a binomial distribution with parameters Compare the (asymptotic) efficiency of the MLE of λ from the marginal distribution of D to that from (V, D). Under what conditions on c is it sensible to base inferences about λ upon D alone?