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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...

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.

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