Hey, I need some help to figure out this problem!
I'm asked to express SxyU, the covariance of the population, as a function of four totals and propose an estimator based on this result.
I started something, but as you will see, I only have 3 totals and I'm not even sure of what I did. Should I express N as a total too? Then, I have no idea what to propose as estimator for SxyU.
Then, how would you prove this relation with Taylor linearization?
Thank you for your help!
I'm asked to express SxyU, the covariance of the population, as a function of four totals and propose an estimator based on this result.
I started something, but as you will see, I only have 3 totals and I'm not even sure of what I did. Should I express N as a total too? Then, I have no idea what to propose as estimator for SxyU.

Then, how would you prove this relation with Taylor linearization?

Thank you for your help!