Determining the uniform distribution

Reference no: EM131851896

Let X₁, ..., X_n be i.i.d. from the uniform distribution on (θ- ½, θ+ ½), where θ ∈ R is unknown. Show that (X(1) + X(n))/2 is strongly consistent for θ and also consistent in mse.

Reference no: EM131851896

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