AN AMELIORATED TWO-STAGE RANDOMIZED RESPONSE MODEL FOR ESTIMATING A RARE STIGMATIZED CHARACTERISTIC USING POISSON DISTRIBUTION

Authors

  • G N Singh Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad.
  • Surbhi Suman Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad.

Keywords:

Poisson distribution, randomized response, rare sensitive attribute, unrelated attribute, variance.

Abstract

The present work sheds light on the estimation procedure of mean number of per-
sons bearing a rare sensitive characteristic utilizing Poisson distribution. A modied
two-stage randomized response model for rare sensitive characteristics is used to
acquire the truthful response and using these responses, unbiased estimators have
been proposed for two situations based on the availability of the prior information
on the supplementary rare non-sensitive characteristic. The variances and their
estimates are derived for detailed study of the proposed estimators. The empirical
studies are executed which show the superiority of the proposed estimators over
contemporary estimators.

References

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Published

10-04-2019