1 Let X1, , X, f(r;8) = (:)0"(1 – 0)²--, x = 0, 1, 2. %3D (i) Find the maximum likelihood estimator (MLE) of 0 (ii) Find the maximum likelihood estimator (MLE) of 02 (iii) Find the method of moments estimator (MME) of 0.

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Q1 Let X1, … . - , X, f(1; 8) = (:)0"(1 – 0)²--, x = 0, 1, 2.
%3D
(i) Find the maximum likelihood estimator (MLE) of 0
(ii) Find the maximum likelihood estimator (MLE) of 0²
(iii) Find the method of moments estimator (MME) of 0.
Transcribed Image Text:Q1 Let X1, … . - , X, f(1; 8) = (:)0"(1 – 0)²--, x = 0, 1, 2. %3D (i) Find the maximum likelihood estimator (MLE) of 0 (ii) Find the maximum likelihood estimator (MLE) of 0² (iii) Find the method of moments estimator (MME) of 0.
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