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Terminology regarding estimators Estimator:o a function of n observations for an(X1,., Xn)whose distribution depends on日. Estimation error: 0n=0n -8 Bias of the estimator: be(0n=Ee0n-0,is the expected value of the estimation errorTerminology regarding estimators ◼ Estimator: Θ ෡ 𝑛, a function of 𝑛 observations for an 𝑋1,… , 𝑋𝑛 whose distribution depends on 𝜃. ◼ Estimation error: Θ෩𝑛 = Θ ෡ 𝑛 − 𝜃. ◼ Bias of the estimator: 𝑏𝜃 Θ ෡ 𝑛 = 𝐸𝜃 Θ ෡ 𝑛 − 𝜃, is the expected value of the estimation error
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