Question

Suppose that we observe the continuous random variable X - (X1,... ,Xn) with state space S, whose distribution we do not know but we are assuming that its p.d.f. belongs to a known family of distributions {fo: θ Ε Θ. We construct an estimator for the unknown parameter θ(X) (a) Explain why it is wrong to write (oox) and correct it. [2 marks]

I'm not sure if there any differences in writing E(^θ(X)) and E(^θ)......If not, why is the above format wrong?

(d) In point estimation, we are aiming to find the estimator that minimises a given cost function What parameters does the cost function depend on? State the exact optimisation problem, describing the range of these parameters. [2 marks

I'm confused what the question is asking.....I have no idea what kind of parameters the cost function depends on.....Also, refer to the exact optimisation problem, is it saying the situation is unbiased? But then, what is the range of these parameters?

A lot of thanks if you could answer my questions!

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