Question

Let $X_1, X_2, \ldots, X_{10}$ be a random sample from a $U(-\theta, \theta)$ distribution, where $\theta \in (0, \infty)$. Let $X_{(10)} = \max \\{ X_1, X_2, \ldots, X_{10} \\}$ and $X_{(1)} = \min \\{ X_1, X_2, \ldots, X_{10} \\}$. If the observed values of $X_{(10)}$ and $X_{(1)}$ are 8 and -10, respectively, then the maximum likelihood estimate of $\theta$ is equal to __________ (answer in integer).

Answer 1

The correct Answer is : 10 -10(Approx.)