Explain what assumptions are needed in order for the OLS estimator to be unbiased in a crosss sectional environment.
Explain what assumptions are needed in order for the OLS estimator to be unbiased in a panel data environment.
Show that for any k ≥ 2, if n + 1 distinct integers are chosen
from the set [kn] = {1, 2, . . . , kn}, then there will be two
integers which differ by at most k − 1. Please demonstrate the
steps so that I can learn from it and solve other problems by
following the reasoning!
Explain and discuss why engineers usually want the minimum
variance unbiased estimator (MVUE). What benefits are achieved
by using the MVUE in making engineering decisions, and what risks
or impacts might be seen if another estimator is chosen at times?
Try to use hypothetical examples to illustrate your thinking.