Suppose that is the MLE for a parameter ?. Let t (?) be a
Chapter 9, Problem 94E(choose chapter or problem)
Suppose that \(\widehat{\theta}\) is the MLE for a parameter \(\theta\). Let \(t(\theta)\) be a function of \(\theta\) that possesses a unique inverse [that is, if \(\beta=t(\theta)\), then \(\left.\theta=t^{-1}(\beta)\right]\). Show that \(t(\widehat{\theta})\) is the MLE of \(t(\theta)\)
Equation Transcription:
Text Transcription:
\widehat\theta
\theta
t(\theta)
\theta
\beta=t(\theta)
\theta=t^-1(\beta)\right]
t(\widehat\theta)
t(\theta)
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