(Solution Library) Find method of moment estimators of θ based on a random sample X_1,...,X_n from f(x|θ)= theta ^2xe^-θ x if x>0 , 0
Question: Find method of moment estimators of \(\theta \) based on a random sample \({{X}_{1}},...,{{X}_{n}}\) from
\[f(x|\theta )=\left\{ \begin{aligned}& {{\theta }^{2}}x{{e}^{-\theta x}}\text{ if }x>0 \\
& 0\text{ otherwise} \\
\end{aligned} \right.\]
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Deliverable: Word Document 