Consider the following for the next two (02) items: Let Xi, Yi and Zi; i = 1, 2, 3 be 9 independent observations with common variance sigma^2, and E(Xi) = theta1 - theta2, E(Yi) = theta2, E(Zi) = theta1 + theta2; i = 1, 2, 3. Let X, Y and Z respectively denote sumi=1^3Xi, sumi=1^3Yi and sumi=1^3Zi. What is BLUE of theta2?

Q62Section I (Objective (Q1–Q80))62 of 80

Linear Models — BLUE of second parameter

Consider the following for the next two (02) items: Let $X_i$ , $Y_i$ and $Z_i$ ; $i = 1, 2, 3$ be 9 independent observations with common variance $\sigma^2$ , and $\mathbb{E}(X_i) = \theta_1 - \theta_2$ , $\mathbb{E}(Y_i) = \theta_2$ , $\mathbb{E}(Z_i) = \theta_1 + \theta_2$ ; $i = 1, 2, 3$ . Let $X$ , $Y$ and $Z$ respectively denote $\sum_{i=1}^{3}X_i$ , $\sum_{i=1}^{3}Y_i$ and $\sum_{i=1}^{3}Z_i$ . What is BLUE of $\theta_2$ ?

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