Question: i need a little more help with this question give...
I need a little more help with this question:
Give an unbiased estimate of the variance of the estimator. (This may be compared to the value of the simpler alternative estimator.)
Here is the previous information to help with the problem.
An unequal probability sample of size 3 is selected from a population of size 10 with replacement. The y-values of the selected units are listed along with their draw-by-draw selection probabilities: y1 = 3, p1 = 0.06; y2 = 10, p2 = 0.20; y3 =7, p3 =0.10.
The population total using the Hansen–Hurwitz estimator is 56.667
The variance of the estimator is 44.444
The population total using the Horvitz–Thompson estimator is: Pi 1 = .1694, Pi 2 = .488, Pi 3 = .271, Population = 64.03