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A practical implementation and Bayesian estimation in Franklin’s randomized response procedure. (English) Zbl 1093.62014

Summary: A Bayesian estimator, based on L. A. Franklin’s [Commun. Stat., Theory Methods 18, No. 2, 489–505 (1989; Zbl 0696.62014)] randomized response procedure is proposed for proportion estimation in surveys dealing with a sensitive character. The method is simple to implement and avoids the usual drawbacks of Franklin’s estimator, i.e., the occurrence of negative estimates when the population proportion is small. A simulation study is considered in order to assess the performance of the proposed estimator as well as the corresponding credible interval.

MSC:

62D05 Sampling theory, sample surveys
62F15 Bayesian inference
65C60 Computational problems in statistics (MSC2010)

Citations:

Zbl 0696.62014

Software:

Mathematica
Full Text: DOI

References:

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