Key points are not available for this paper at this time.
V. P. Godambe, M. E. Thompson, Parameters of Superpopulation and Survey Population: Their Relationships and Estimation, International Statistical Review / Revue Internationale de Statistique, Vol. 54, No. 2 (Aug., 1986), pp. 127-138
Godambe et al. (Fri,) studied this question.