On Sampford's Procedure of Unequal Probability Sampling Without Replacement
Chaturvedula Asok, Balkrishna V. Sukhatme · Journal of the American Statistical Association · 1976
Among the unequal probability sampling without replacement procedures applicable for arbitrary sample size, those of Goodman and Kish and of Sampford are relatively simple to operate besides satisfying the criterion that the inclusion probability of each population unit is proportional to its size. Considering the Horvitz-Thompson estimator for estimating the population total, we show in this paper that Sampford's procedure is more efficient than the Goodman and Kish procedure. Our result is a generalization of Rao's result wherein he compared Durbin's procedure with that of Goodman and Kish.