Let $X_1, \dots, X_n$ be i.i.d random variables with pdf: $f(x|\theta) = \theta x^2$, $0 < \theta \leq x < \infty$.
Find the mle of $\theta$.
Find the mle of $e^{\theta}$.
Find the method of moments estimator of $\theta$.
Let $X_1, \dots, X_n$ be i.i.d random variables with pdf: $f(x|\theta) = \theta x^2$, $0 < \theta \leq x < \infty$.
Find the mle of $\theta$.
Find the mle of $e^{\theta}$.
Find the method of moments estimator of $\theta$.