Consider the shifted exponential distribution. When θ = 0, this density reduces to the usual exponential distribution.

Consider the shifted exponential distribution.


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When θ = 0, this density reduces to the usual exponential distribution. When θ > 0, there is only positive probability to the right of θ
(a) Find the maximum likelihood estimator of and λ, based on a random sample of size n.
(b) Describe a practical situation in which one would suspect that the shifted exponential distribution is a plausible model.

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