In: Statistics and Probability
We have a one parameter statistical model.
Probability model: {f(x;θ)=x/(2θ^2), θ>0 and x is an element of (0, θ].
Sampling model: X=(X1,...Xn) is random.
By stating likelihood and log likelihood functions, calculate the maximum likelihood estimator of θ. Differentiation can't be used to solve this problem.