題組內容

2. Let X1, X2, ..., Xn be a random sample from a population with pdf
\( f(x|\theta) = \theta x^{\theta-1} \mathbf{1}_{\{0<x<1\}}, \theta > 0. \)

(a) \( (5\%) \) Find the method of moments estimator (MME), \( \hat{\theta} \)