Key points are not available for this paper at this time.
P. Jagers, , L. Trulsson, Post-Stratification and Ratio Estimation: Usages of Auxiliary Information in Survey Sampling and Opinion Polls, International Statistical Review / Revue Internationale de Statistique, Vol. 53, No. 3 (Dec., 1985), pp. 221-238
Jagers et al. (Sun,) studied this question.