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Afrika Matematika

, Volume 29, Issue 3–4, pp 407–423 | Cite as

A randomization device for estimating a rare sensitive attribute in stratified sampling using Poisson distribution

  • Tanveer A. Tarray
  • Housial P. Singh
Article
  • 25 Downloads

Abstract

The nitty-gritty of this paper is to estimate the mean of the number of persons possessing a rare sensitive attribute by utilizing the Poisson distribution in stratified survey sampling. It is also shown that the proposed models are more efficient than Lee et al.’s (Statistics 47:575–589, 2013) models in both the cases when the proportion of persons possessing a rare unrelated attribute is known and that when it is unknown. Properties of the proposed randomized response models have been studied alongwith recommendations. Numerical illustrations are also given in support of the present study.

Keywords

Randomized response technique Estimation of proportion Rare sensitive characteristics Relative efficiency 

Mathematics Subject Classification

62D05 

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Copyright information

© African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsIslamic University of Science and TechnologyAwantipora, PulwamaIndia
  2. 2.School of Studies in StatisticsVikram UniversityUjjainIndia

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