Taga, Yasushi Generalization of HT strategy and its application. (English) Zbl 0779.62011 Yokohama Math. J. 40, No. 2, 163-173 (1993). The Horvitz-Thompson strategy (HT-strategy) can be generalized by redefining the so-called inclusion probabilities so that estimators and their variance formulas for both with-replacement sampling and without- replacement sampling are represented in the same forms. Using this result we can find a feasible procedure which improves a given strategy of with- replacement sampling to a better strategy of without-replacement sampling under suitable conditions.Necessary and sufficient conditions for existence of a sampling design are obtained, which induce the first-order or second-order inclusion probabilities given in advance, in the case of without-replacement sampling designs. Reviewer: J.Lillestøl (Bergen) MSC: 62D05 Sampling theory, sample surveys Keywords:necessary and sufficient conditions; varying probability sampling; common form; Horvitz-Thompson strategy; inclusion probabilities; variance formulas; with-replacement sampling; without-replacement sampling; existence of a sampling design PDFBibTeX XMLCite \textit{Y. Taga}, Yokohama Math. J. 40, No. 2, 163--173 (1993; Zbl 0779.62011)