The estimators of V (HT) in (6.22) and (6.23) require knowledge of the joint inclusion probabilities ik.
Question:
a. Does the set of ˜πik€™s satisfy condition (6.18)? Can they be joint inclusion probabilities?
b. What is ˜πik if an SRS is taken? Show that if N is large, ˜πik is close to πik .
c. Show that if ˜πik is substituted for πik in (6.21), the expression for the variance can be written as
Where ei = ti /Ï€i ˆ’ A and
Write (6.21) as
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