Variance estimation using an optional randomized response technique
Badr Alorainiboalorai@uncg.eduDepartment of Mathematics and Statistics University of North CarolinaGreensboro, 27412, U.S.A.View full profile → , Sadia Khalils_khali2@uncg.edu; Sadia.Khalil@icwu.edu.pkDepartment of Statistics Lahore College for Women UniversityLahore, 54000, PakistanView full profile → , Muhammad Nouman Qureshinqureshi633@gmail.comDepartment of Statistics National College of Business Administration and EconomicsLahore, 54660, PakistanView full profile → , *Sat GuptaCorresponding authorsngupta@uncg.eduDepartment of Mathematics and Statistics University of North CarolinaGreensboro, 27412, U.S.A.View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 06 Apr 2021
- Published Online:
- 15 Mar 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1290
- Pages:
- 369–380
Abstract
Keywords
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References
[1] A. Asghar, A. Sanaullah, and M. Hanif, “A multivariate regression-cum-exponential estimator for population variance vector in two phase sampling,” Journal of King Saud University-Science, vol. 30, no. 2, pp. 223-228 (2018).
[2] S. Gupta, B. Aloraini, M. Qureshi, and S. Khalil, “Variance estimation using randomized response technique,” REVSTAT, vol. 18, no. 2, pp. 165-176 (2020).
[3] S. N. Gupta, B. C. Gupta, and S. Singh, “Estimation of sensitivity level of personal interview survey questions,” Journal of Statistical Planning and Inference, vol. 2, pp. 239-247 (2002).
[4] S. Gupta, M. Samridhi, J. Shabbir, and S. Khalil, “A class of estimators for quantitative sensitive data,” Statistical Papers, vol. 52, no. 3, pp. 633-650 (2018).
[5] S. Gupta, J. Shabbir, and S. Sehra, “Mean and sensitivity estimation in optional randomized response models,” Journal of Statistical Planning and Inference, vol. 140, no. 10, pp. 2870-2874 (2010).
[6] C. T. Isaki, “Variance estimation using auxiliary information,” Journal of the American Statistical Association, vol. 78, no. 381, pp. 117-123 (1983).
[7] S. Masood and J. Shabbir, “Generalized multi-phase regression-type estimators under the effect of measurement error to estimate the population variance,” Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 4, pp. 1297-1306 (2016).
[8] K. Pollock and Y. Bek, “A comparison of three randomized response models for quantitative data,” Journal of the American Statistical Association, vol. 71, no. 356, pp. 884-886 (1976).
[9] A. Sanaullah, M. Hanif, and A. Asghar, “Generalized exponential estimators for population variance under two-phase sampling,” International Journal of Applied and Computational Mathematics, vol. 2, no. 1, pp. 75-84 (2016).
[10] A. Sanaullah, I. Niaz, J. Shabbir, and I. Ehsan, “A class of hybrid type estimators for variance of a finite population in simple random sampling,” pp. 1-11 (2020).
[11] S. L. Warner, “Randomized response: A survey technique for eliminating evasive answer bias,” Journal of the American Statistical Association, vol. 60, no. 309, pp. 63-69 (1965).
[12] Z. Yan, J. Wang, and J. Lai, “An efficiency and protection degree-based comparison among the quantitative randomized response strategies,” Communications in Statistics-Theory and Methods, vol. 38, pp. 404-408 (2009).
[13] Q. Zhang, S. Gupta, G. Kalucha, and S. Khalil, “Ratio estimation of the mean under RRT models,” Journal of Statistics and Management Systems, vol. 22, no. 1, pp. 97-113 (2019).
