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Asked Feb 3, 2020
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Let X1, . . . , Xn be an iid sample from f(x | θ) = θxθ−1  , 0 < x < 1,

where the parameter θ is positive.

Find the MLE and MOM estimators for θ.

10. Let X1,..., X„ be an iid sample from f(x | 0) = 0x°-1,
positive. Find the MLE and MOM estimators for 0.
0 < I < 1, where the parameter 0 is
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10. Let X1,..., X„ be an iid sample from f(x | 0) = 0x°-1, positive. Find the MLE and MOM estimators for 0. 0 < I < 1, where the parameter 0 is

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