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On the comparison of Horvitz-Thompson and Murthy's sampling strategies for estimating finite population proportions in direct and randomized response surveys
S SENGUPTA
Published in TAYLOR & FRANCIS INC
2017
Volume: 46

Issue: 3
Pages: 1456 - 1461
Abstract
We consider the problem of unbiased estimation of a finite population proportion and compare the relative efficiency of the unequal probability sampling strategies due to Horvitz and Thompson (1952) and Murthy (1957) under a super-population model. It is shown that the model expected variance is smaller for the Murthy's (1957) strategy both when these two sampling strategies are based on data obtained from (i) a direct survey, and (ii) a randomized response (RR) survey employing some RR technique following a general RR model.