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Communications in Statistics - Theory and Methods Volume 47, 2018 - Issue 20
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Articles

Admissible unbiased estimation of finite population variance under a randomized response model

S. SenguptaDepartment of Statistics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata, IndiaCorrespondence[email protected]
Pages 5077-5082 | Received 11 Jan 2017, Accepted 24 Sep 2017, Published online: 20 Nov 2017

References

  • Arnab, R. 1995. On admissibility and optimality of sampling strategies in randomized response surveys. Sankhya, Ser B 57:385–390.
  • Arnab, R. 2017. Survey sampling theory and applications. Oxford: Academic Press.
  • Basu, D. 1971. An essay on the logical foundations of survey sampling I. In V. P. Godambe, and D. A. Sprott, Eds., Foundations of Statistical Inference, Toronto: Hold, Rinehart and Winston, 203–242.
  • Boruch, R. F. 1972. Relations among statistical methods for assuring confidentiality of social research data. Social Science Research 1:403–414. doi:10.1016/0049-089X(72)90085-3.
  • Chaudhuri, A. 1987. Randomized response surveys of finite populations: A unified approach with quantitative data. J. Statist. Plann. Inference 15:157–165. doi:10.1016/0378-3758(86)90094-7.
  • Chaudhuri, A. 2011. Randomized response and indirect questioning techniques in surveys. Boca Raton, Florida, USA: CRC Press, Chapman and Hall, Taylor & Francis Group.
  • Chaudhuri, A., and Christofides, T. C. 2013. Indirect questioning in sample surveys. Berlin, Heidelberg, Germany: Springer-Verlag.
  • Chaudhuri, A., and Mukerjee, R. 1988. Randomized response: Theory and techniques. New York: Marcel Dekker.
  • Christofides, T. C. 2003. A generalized randomized response technique. Metrika 57:195–200. doi:10.1007/s001840200216.
  • Eichhorn, B. H., and Hayre, L. S. 1983. Scrambled randomized response method for obtaining sensitive quantitative data. J. Statist. Plann. Inference 7:307–316. doi:10.1016/0378-3758(83)90002-2.
  • Eriksson, S. A. 1973. A new model for randomized response. Rev. Interenat. Stat. Inst. 41:101–113. doi:10.2307/1402791.
  • Hansen, M. H., and Hurwitz, W. N. 1943. On the theory of sampling from finite populations. Ann. Math. Statist. 14:333–362. doi:10.1214/aoms/1177731356.
  • Hanurav, T. V. 1966. Some aspects of unified sampling theory. Sankhya, Ser A 28:175–204.
  • Horvitz, D. G., and Thompson, D. J. 1952. A generalization of sampling without replacement from finite universes. J. Amer. Statist. Assoc. 47:663–685. doi:10.1080/01621459.1952.10483446.
  • Kuk, A. Y. C. 1990. Asking sensitive questions indirectly. Biometrika 77:436–438. doi:10.1093/biomet/77.2.436.
  • Liu, T. P. 1974. A general unbiased estimator for the variance of a finite population. Sankhya, Ser C 36:23–32.
  • Mangat, N. S., and Singh, R. 1990. An alternative randomized response procedure. Biometrika 77:439–442. doi:10.1093/biomet/77.2.439.
  • Pollock, K. H., and Bek, Y. 1976. A comparison of three randomized response models for quantitative data. J. Amer. Statist. Assoc. 71:884–886 doi:10.1080/01621459.1976.10480963.
  • Sengupta, S. 2014. On the admissibility of Horvitz—Thompson strategies for estimating finite population proportions in direct and randomized response surveys. Cal. Statist. Assoc. Bull. 66:63–71. doi:10.1177/0008068320140105.
  • Sengupta, S., and Kundu, D. 1989. Estimation of finite population mean in randomized response surveys. J. Statist. Plann. Inference 23:117–125. doi:10.1016/0378-3758(89)90044-X.
  • Warner, S. L. 1965. Randomized response—A survey technique for eliminating evasive answer bias. J. Amer. Statist. Assoc. 60:63–69. doi:10.1080/01621459.1965.10480775.
  • Warner, S. L. 1971. The linear randomized response model. J. Amer. Statist. Assoc. 66:884–888. doi:10.1080/01621459.1971.10482364.

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