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Obtain maximum likelihood estimator f x =1 /theta*e^-x/theta |
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Answer» Step-by-step explanation: I'm given f(X;θ)=12e−|x−θ|, −∞ lnL(θ;x1,...,xn)=−nln2−∑|xi−θ| Usually I WOULD differentiate and find the maximum. Here differentiation does not work. But by INSPECTION, ∑|xi−θ| is always positive so L has a maximum when ∑|xi−θ|=0. But how can I express θ in terms of the xi's? |
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