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Book ChapterDOI

Admissible and Optimal Estimation in Finite Population Sampling Under Randomized Response Models

S. Sengupta
- 01 Jan 2016 - 
- Vol. 34, pp 91-104
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TLDR
The authors consider the problem of unbiased estimation of finite population mean (or proportion) related to a sensitive character under some randomized response models covering different randomized response plans and present a comprehensive review of various nonexistence, admissibility, and optimality results on the problem paralleling those for direct surveys.
Abstract
We consider the problem of unbiased estimation of finite population mean (or proportion) related to a sensitive character under some randomized response models covering different randomized response plans and present a comprehensive review of various nonexistence, admissibility, and optimality results on the problem paralleling those for direct surveys.

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References
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Journal ArticleDOI

A generalization of sampling without replacement from a finite universe.

TL;DR: In this paper, two sampling schemes are discussed in connection with the problem of determining optimum selection probabilities according to the information available in a supplementary variable, which is a general technique for the treatment of samples drawn without replacement from finite universes when unequal selection probabilities are used.
Journal ArticleDOI

Randomized response: a survey technique for eliminating evasive answer bias.

TL;DR: A survey technique for improving the reliability of responses to sensitive interview questions is described, which permits the respondent to answer "yes" or "no" to a question without the interviewer knowing what information is being conveyed by the respondent.
Reference BookDOI

Randomized Response : Theory and Techniques

TL;DR: Randomized Response as discussed by the authors is mandatory reading for statisticians and biostatisticians, market researchers, operations researchers, pollsters, sociologists, political scientists, economists and advanced undergraduate and graduate students in these areas.
Journal ArticleDOI

A unified theory of sampling from finite populations

TL;DR: In this paper, the most general type of linear estimate is defined for a general sampling design and it is demonstrated that an unbiased linear estimate with least variance does not exist uniquely for the entire class of linear estimates.
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