On the comparison of Horvitz–Thompson and Murthy's sampling strategies for estimating finite population proportions in direct and randomized response surveys

S. Sengupta

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 3, 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.

Date: 2017
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DOI: 10.1080/03610926.2015.1019149

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