Let Y1, Y2 and Y3 be uncorrelated observations with common variance and expectations given by E(Y1)=beta1, E(Y2)=beta2 and E(Y3)=beta1+beta2, where beta1 and beta2 are unknown parameters. The BLUE of (beta1+beta2) is:

Q56Section I (Objective (Q1–Q80))56 of 80

BLUE of a linear combination of parameters

Let $Y_1$ , $Y_2$ and $Y_3$ be uncorrelated observations with common variance and expectations given by $\mathbb{E}(Y_1)=\beta_1$ , $\mathbb{E}(Y_2)=\beta_2$ and $\mathbb{E}(Y_3)=\beta_1+\beta_2$ , where $\beta_1$ and $\beta_2$ are unknown parameters. The BLUE of $(\beta_1+\beta_2)$ is:

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