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HORVITZ‐THOMPSON AND DES RAJ ESTIMATORS REVISITED
Author(s) -
Rao T. J.
Publication year - 1972
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1972.tb00898.x
Subject(s) - estimator , mathematics , statistics , sampling (signal processing) , sample size determination , population , physics , demography , sociology , detector , optics
Summary In this paper it is shown that the generalized π PS sampling strategy consisting of the design with π i , the probability of inclusion of the i th unit in the sample, proportional to the modified size together with the corresponding Horvitz‐Thompson estimator (Rao, 1971), is superior to the symmetrized Des Raj strategy under a general super‐population set‐up for all values of the super‐population parameter g , when the samples are of size two.