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Estimation of mean and variance of stigmatized quantitative variable using distinct units in randomized response sampling

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Abstract

It is well known for direct question surveys that the estimator of finite population mean based on the distinct units is always more efficient than the estimator based on the whole sample drawn using simple random sampling with replacement. In this paper, it is derived that this result is not true in general in case of randomised response sampling for quantitative characters. An unbiased estimator of finite population variance using distinct units has also been suggested.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Southern Maine, 04101, Portland, ME, USA

    Sarjinder Singh

  2. Department of Business Statistics and Econometrics, Monash University, 3168, Clayton, Australia

    Munir Mahmood

  3. Department of Mathematics and Statistics, University of Windsor, N9B 3P4, Windsor, Ontario, Canada

    D. S. Tracy

Authors
  1. Sarjinder Singh
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  2. Munir Mahmood
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  3. D. S. Tracy
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Correspondence to Sarjinder Singh.

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Singh, S., Mahmood, M. & Tracy, D.S. Estimation of mean and variance of stigmatized quantitative variable using distinct units in randomized response sampling. Statistical Papers 42, 403–411 (2001). https://doi.org/10.1007/s003620100067

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  • DOI: https://doi.org/10.1007/s003620100067

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