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Unbiased estimators of mean, variance and sensitivity level for quantitative characteristics in finite population sampling

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Abstract

This paper considers the problem of procuring reliable information on sensitive quantitative characteristics without exposing respondents’ identities. A generalized optional randomized response procedure is proposed, which enables us to estimate some unknown population parameters unbiasedly. In particular, conditions for the assurance of unbiased estimations of mean, variance and sensitivity level are studied. Efficiency comparisons are also carried out to study the performance of the proposed procedure.

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Authors and Affiliations

  1. Department of Business Administration, Nanhua University, 32 Jhong Valley, 622, Dalin, Chiayi, Taiwan, ROC

    Kuo-Chung Huang

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  1. Kuo-Chung Huang
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Correspondence to Kuo-Chung Huang.

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Huang, KC. Unbiased estimators of mean, variance and sensitivity level for quantitative characteristics in finite population sampling. Metrika 71, 341–352 (2010). https://doi.org/10.1007/s00184-009-0234-7

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  • DOI: https://doi.org/10.1007/s00184-009-0234-7

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