Suppose that X and Y are independent measurement of a quantity μ. E(X) = E(Y) = μ,     σX ≠ σY,     Z = αX + (1 - α)Y,     α ∈ [0, 1] (a) Show that E(X) = μ. (b) Find α in terms of σX and σY to minimize V(Z). (c) Under what circumstance

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.