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A new estimator of proportion with a linear function using data from two-decks randomized response model. (English) Zbl 1387.62010

Summary: A new estimator for estimating the proportion of a potentially sensitive attribute in survey sampling has been introduced by solving a linear equation. The proposed estimator has been compared with the estimator proposed by the last two authors [ibid. 38, No. 4, 439–446 (2009; Zbl 1161.62001)] with equal protection to all of the respondents. The asymptotic properties of the proposed estimator are investigated through exact numerical illustrations for different choices of parameters. A non randomized response approach has been suggested. A scope for further research has also been pointed out.

MSC:

62D05 Sampling theory, sample surveys
62-04 Software, source code, etc. for problems pertaining to statistics
65C60 Computational problems in statistics (MSC2010)

Citations:

Zbl 1161.62001
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References:

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