(a) Maximum likelihood estimator: Let {X;}"-, be n i.i.d. random variables with density fo with respect to the Lebesgue measure. For each case below, find the MLE of 0. fola) = r0"r=(r+1)I(x > 0),...

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Extracted text: (a) Maximum likelihood estimator: Let {X;}"-, be n i.i.d. random variables with density fo with respect to the Lebesgue measure. For each case below, find the MLE of 0. fola) = r0"r=(r+1)I(x > 0), with 0 > 0 and r > 0 is a known constant.