7.6 Let X1,...,X, be a random sample from the pdf f(z|@) = @z¯², 0<0sz<0. (a) What is a sufficient statistic for 0? (b) Find the MLE of 0. (c) Find the method of moments estimator of 0.

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7.6 Let X1,...,X, be a random sample from the pdf
f(z|0) = 0z¯², 0< ®Sz< ∞.
(a) What is a sufficient statistic for 0?
(b) Find the MLE of 0.
(c) Find the method of moments estimator of 0.
Transcribed Image Text:7.6 Let X1,...,X, be a random sample from the pdf f(z|0) = 0z¯², 0< ®Sz< ∞. (a) What is a sufficient statistic for 0? (b) Find the MLE of 0. (c) Find the method of moments estimator of 0.
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