Affiliations: [a] Department of Computer Science and Engineering, Islamic University of Science and Technology, Kashmir, India | [b] School of Studies in Statistics, Vikram University, Ujjain, India
Correspondence:
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Corresponding author: Tanveer A. Tarray, Department of Computer Science and Engineering, Islamic University of Science and Technology, Awantipora, Pulwama, Kashmir 192122, India. E-mail:tanveerstat@gmail.com
Abstract: The crux of this paper is to estimate the mean of the number of persons
possessing a rare sensitive attribute based on the Singh et al. [1]
randomization device by utilizing the Poisson distribution in stratified
sampling. This study also deals with the extension of the estimation
reported by Singh and Tarray [2] using a Poisson distribution and an
unrelated question randomized response model reported in Singh et al. [1].
In stratified sampling, the estimators are proposed when the parameter of
the rare unrelated attribute is known and also when it is unknown. It is
shown that the proposed models are more efficient than the model given by
Lee et al. [3] in both cases, that is, when the proportion of persons
possessing a rare unrelated attribute is known and that when it is unknown.
When the sizes of the stratified populations are not given, other estimators
are suggested using stratified double sampling. Properties of the proposed
randomized response model are studied and recommendations are made.
