Suppose that a random sample of length-of-life
Chapter 9, Problem 107SE(choose chapter or problem)
Suppose that a random sample of length-of-life measurements, \(Y_{1}, Y_{2}, \ldots, Y_{n}\), is to be taken of components whose length of life has an exponential distribution with mean \(\theta\). It is frequently of interest to estimate
\(F^{-}(t)=1-F(t)=e^{-t, \theta}\)
the reliability at time of such a component. For any fixed value of
, find the MLE of \(F^{-}(t)\)
Equation Transcription:
Text Transcription:
Y1, Y2,...,Yn
\theta
F^-(t)=1-F(t)=e^-t, \theta
F^-(t)
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