Skip to content
Q19Section A (Section A)19 of 60

Method of moments for a uniform on a symmetric interval

Let x1=2x_1=2, x2=1x_2=1, x3=5x_3=\sqrt5, x4=2x_4=\sqrt2 be the observed values of a random sample of size four from a distribution with the probability density function

f(x∣θ)={12θ,−θ≤x≤θ, 0,otherwise,θ>0.f(x|\theta)=\begin{cases}\dfrac1{2\theta}, & -\theta\le x\le\theta,\ 0, & \text{otherwise,}\end{cases}\quad\theta>0.

Then the method of moments estimate of θ\theta is

Options

Pick an option to check your answer.