A randomized response model based on blank card and geometric distribution to estimate sensitive proportion
Abstract
Using geometric probability (GP) distribution as a randomization device, a new randomized response (RR) model has been proposed which has an immense potential to estimate the human population proportion that possess a stigmatized character. Privacy protection measure of proposed model and some of its properties have been investigated. In addition, empirical experiments are conducted to validate the theoretical results, which demonstrate the better performance of the suggested estimators over their direct competitors. Finally, results are analyzed and appropriate suggestions are made available to survey practitioners when dealing with sensitive aspects.
Copyright © 2021 Mustafa Kamal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. Kamal, A randomized response model based on blank card and geometric distribution to estimate sensitive proportion, J. Math. Comput. Sci. 11 (2021), 7857–7871. https://doi.org/10.28919/jmcs/5769
BibTeX
@article{Kamal2021,
author = {Kamal, Mustafa},
title = {A randomized response model based on blank card and geometric distribution to estimate sensitive proportion},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {7857--7871},
doi = {10.28919/jmcs/5769}
}