7.6 Let X1,...,Xn be a random sample from the pdf f(x|?) = ? x^{?-1}, 0 < x < 1. (a) What is a sufficient statistic for ?? (b) Find the MLE of ?. (c) Find the method of moments estimator of ?.
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The given pdf is: $$f(x;\theta) = \begin{cases} \frac{2}{\theta} & 0 < x < \theta < 6 \\ 0 & \text{otherwise} \end{cases}$$ Show more…
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