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Communications in Statistics - Theory and Methods Volume 48, 2019 - Issue 11
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Original Articles

Revisit of a randomized response model for estimating a rare sensitive attribute under probability proportional to size sampling using Poisson probability distribution

G. N. SinghDepartment of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India
,
C. SinghDepartment of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, IndiaCorrespondence[email protected]
&
S. SumanDepartment of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India
Pages 2766-2786 | Received 10 Nov 2017, Accepted 30 Jul 2018, Published online: 23 Oct 2018

References

  • Chaudhuri, A., and R. Mukerjee. 1988. Randomized response: Theory and techniques. New York, USA: Marcel Dekker.
  • Fox, J. A., and P. E. Tracy. 1986. Randomized response: A method for sensitive surveys. Beverly Hills, CA: Sage Publications.
  • Greenberg, B., A. Abul-Ela, W. R. Simmons, and D. G. Horvitz. 1969. The unrelated question randomized response: Theoretical framework. Journal of the American Statistical Association 64 (326):520–39.
  • Kim, J. M., and W. D. Warde. 2005. Some new results on the multinomial randomized response model. Communications in Statistics: Theory and Methods 34 (4):847–56.
  • Kim, J. M., and M. E. Elam. 2007. A stratified unrelated randomized response model. Statistical Papers 48 (2):215–33.
  • Land, M., S. Singh, and S. A. Sedory. 2012. Estimation of a rare sensitive attribute using Poisson distribution. Statistics 46 (3):351–60.
  • Lanke, J. 1975. On the choice of the unrelated question in Simmons version of randomized response. Journal of the American Statistical Association 70 (349):80–3.
  • Lee, G. S. 2006. A study on the randomized response technique by PPS sampling. The Korean Journal of Applied Statistics 19 (1):69–80.
  • Lee, G. S., D. Uhm, and J. M. Kim. 2014. Estimation of a rare sensitive attribute in probability proportional to size measures using Poisson distribution. Statistics 48 (3):685–709.
  • Mangat, N. S., R. Singh, and S. Singh. 1992. An improved unrelated question randomized response strategy. Calcutta Statistical Association Bulletin 42 (3–4):277–81.
  • Moors, J. A. 1971. Optimization of the unrelated question randomized response model. Journal of the American Statistical Association 66 (335):627–9.
  • Singh, G. N., C. Singh, S. Suman, and A. Kumar. 2018. A two-stage unrelated randomized response model for estimating a rare sensitive attribute in probability proportional to size sampling using Poisson distribution. Communications in Statistics- Theory and Methods 47 (15):3744–66.
  • Singh, H. P., and T. A. Tarray. 2012. A stratified unknown repeated trials in randomized response sampling. Communications of the Korean Statistical Society 19 (6):751–9.
  • Singh, H. P., and T. A. Tarray. 2015. A revisit to the Singh, Horn, Singh and Mangat’s randomization device for estimating a rare sensitive attribute using Poisson distribution. Model Assisted Statistics and Applications 10 (2):129–38.
  • Singh, S., S. Horn, R. Singh, and N. S. Mangat. 2003. On the use of modified randomization device for estimating the prevalence of a sensitive attribute. Statistics in Transition 6 (4):515–22.
  • Warner, S. L. 1965. Randomized response: A survey technique for eliminating evasive answer bias. Journal of the American Statistical Association 60 (309):63–9.

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