Prove that the expected value of the estimate W n , that is, E{W n } =

Question:

Prove that the expected value of the estimate W̃_n, that is, E{W̃_n} = n+1 θ. Such an estimate is called biased: its expected value is not equal to the parameter we are estimating. By what should we multiply W̃_n for the new estimate, Ṽ_n, to have the following two properties: first, Ṽ_n is unbiased, that is, E{Ṽ_n} = θ; secondly, the convergence