BLUEs of angles of triangle

66 Views Asked by At

Let $\beta _1, \beta _2, \beta _3$ be the true value of the interior angle of a triangle. Let $Y_1,Y_2, Y_3$ are independent measurement of $\beta _1, \beta _2, \beta _3$ respectively. Assume that $Y_i$ is normally distributed with mean $\beta _i$ and variance $\sigma ^2$ for $i=1,2,3$ where $\sigma$ is unknown. Obtain $BLUEs$ of $\beta _1, \beta _2, \beta _3$ based on the measurements.