An efficient family of robust-type estimators for the population variance in simple and stratified random sampling

References

• Abdelfatah, S., and R. Mazloum. 2016. An efficient two-stage randomized response model under stratified random sampling. Mathematical Population Studies 23 (4):222–38. doi:10.1080/08898480.2016.1222222.
   Web of Science ®Google Scholar
• Agrawal, M. C., and A. B. Sthapit. 1995. Unbiased ratio-type variance estimation. Statistics & Probability Letters 25 (4):361–64. doi:10.1016/0167-7152(94)00242-7.
   Web of Science ®Google Scholar
• Arcos, A., M. Rueda, M. D. Martı́nez, S. González, and Y. Román. 2005. Incorporating the auxiliary information available in variance estimation. Applied Mathematics and Computation 160 (2):387–99. doi:10.1016/j.amc.2003.11.010.
   Web of Science ®Google Scholar
• Bulut, H., and Y. Öner. 2017. The evaluation of socio-economic development of development agency regions in Turkey using classical and robust principal component analyses. Journal of Applied Statistics 44 (16):2936–48. doi:10.1080/02664763.2016.1267115.
   Web of Science ®Google Scholar
• Bulut, H., and T. Zaman. 2019. An improved class of robust ratio estimators by using the minimum covariance determinant estimation. Communications in Statistics: Simulation and Computation. Advance online publication. doi:10.1080/03610918.2019.1697818.
   Web of Science ®Google Scholar
• Cebrián, A. A., and M. R. García. 1997. Variance estimation using auxiliary information: An almost unbiased multivariate ratio estimator. Metrika 45 (1):171–78. doi:10.1007/BF02717100.
   Web of Science ®Google Scholar
• Cochran, W. G. 2007. Sampling techniques. New York: John Wiley & Sons.
   Google Scholar
• Das, A. K., and T. P. Tripathi. 1978. Use of auxiliary information in estimating the finite population variance. Sankhya, C 40:139–48.
   Google Scholar
• Hanif, M., and U. Shahzad. 2019. Estimation of population variance using kernel matrix. Journal of Statistics and Management Systems 22 (3):563–86. doi:10.1080/09720510.2019.1565444.
   Web of Science ®Google Scholar
• Hosking, J. R. 1990. L‐moments: Analysis and estimation of distributions using linear combinations of order statistics. Journal of the Royal Statistical Society: Series B (Methodological) 52 (1):105–24.
   Web of Science ®Google Scholar
• Isaki, C. T. 1983. Variance estimation using auxiliary information. Journal of the American Statistical Association 78 (381):117–23. doi:10.1080/01621459.1983.10477939.
   Web of Science ®Google Scholar
• Kadilar, C., M. Candan, and H. Cingi. 2007. Ratio estimators using robust regression. Hacettepe Journal of Mathematics and Statistics 36 (2):181–88.
   Web of Science ®Google Scholar
• Kadilar, C., and H. Cingi. 2006. Ratio estimators for the population variance in simple and stratified random sampling. Applied Mathematics and Computation 173 (2):1047–59. doi:10.1016/j.amc.2005.04.032.
   Web of Science ®Google Scholar
• Khan, M., and J. Shabbir. 2013. A ratio-type estimator for the estimation of population variance using quartiles of an auxiliary variable. Journal of Statistics Applications & Probability 2 (3):319–325. doi:10.12785/jsap/020314.
   Google Scholar
• Murthy, M. N. 1967. Sampling theory and methods. India: Statistical Publishing Society.
   Google Scholar
• Rousseeuw, P. J. 1985. Multivariate estimation with high breakdown point. Mathematical Statistics and Applications 8:283–97.
   Google Scholar
• Sanaullah, A., A. Asghar, and M. Hanif. 2017. General class of exponential estimator for estimating finite population variance. Journal of Reliability and Statistical Studies 10 (2):1–16.
   Web of Science ®Google Scholar
• Shabbir, J., and S. Gupta. 2007. On improvement in variance estimation using auxiliary information. Communications in Statistics - Theory and Methods 36 (12):2177–85. doi:10.1080/03610920701215092.
   Web of Science ®Google Scholar
• Shahzad, U., I. Ahmad, I. M. Almanjahie, and N. H. Al–Noor. 2021. L-moments based calibrated variance estimators using double stratified sampling. Computers, Materials & Continua 68 (3):3411–30. doi:10.32604/cmc.2021.017046.
   Web of Science ®Google Scholar
• Shahzad, U., I. Ahmad, I. M. Almanjahie, N. H. Al Noor, and M. Hanif. 2021. A new class of L-moments based calibration variance estimators. Computers, Materials & Continua 66 (3):3013–28. doi:10.32604/cmc.2021.014101.
   Web of Science ®Google Scholar
• Shahzad, U., M. Hanif, N. Koyuncu, and A. V. Garcia Luengo. 2017. Estimation of population variance using quartiles in absence and presence of non-response. Gazi University Journal of Science 30 (2):205–18.
   Web of Science ®Google Scholar
• Shahzad, U., M. Hanif, N. Koyuncu, and A. Sanaullah. 2018. On the estimation of population variance using auxiliary attribute in absence and presence of non-response. Electronic Journal of Applied Statistical Analysis 11 (2):608–21.
   Web of Science ®Google Scholar
• Sharma, P., and R. Singh. 2013. A generalized class of estimators for finite population variance in presence of measurement errors. Journal of Modern Applied Statistical Methods 12 (2):231–41. doi:10.22237/jmasm/1383279120.
   Google Scholar
• Sharma, P., H. K. Verma, and R. S. C. N. Bouza. 2018. Estimators for population variance using auxiliary information on quartile. Investigación Operacional 39 (4):528–36.
   Google Scholar
• Singh, H. P., and M. S. Kakran. 1993. A modified ratio estimator using known coefficient of kurtosis of an auxiliary character. (unpublished).
   Google Scholar
• Singh, H. P., and S. K. Pal. 2016. An efficient class of estimators of finite population variance using quartiles. Journal of Applied Statistics 43 (10):1945–58. doi:10.1080/02664763.2015.1125865.
   Web of Science ®Google Scholar
• Singh, H. P., S. K. Pal, and R. S. Solanki. 2013. Improved estimation of finite population variance using quartiles. Journal of the Turkish Statistical Association 6 (3):116–21.
   Google Scholar
• Singh, H. P., S. K. Pal, and R. S. Solanki. 2014. A new procedure for estimation of finite population variance using auxiliary information. Journal of Reliability and Statistical Studies 7 (2):149–60.
   Google Scholar
• Singh, H. P., L. N. Upadhyaya, and U. D. Namjoshi. 1988. Estimation of finite population variance. Current Science 57 (24):1331–34.
   Web of Science ®Google Scholar
• Sisodia, B. V. S., and V. K. Dwivedi. 1981. Modified ratio estimator using coefficient of variation of auxiliary variable. Journal Indian Society of Agricultural Statistics 33 (2):13–18.
   Google Scholar
• Solanki, R. S., H. P. Singh, and S. K. Pal. 2015. Improved ratio-type estimators of finite population variance using quartiles. Hacettepe Journal of Mathematics and Statistics 44 (3):747–54.
   Web of Science ®Google Scholar
• Subramani, J., and G. Kumarapandiyan. 2013. Estimation of variance using known coefficient of variation and median of an auxiliary variable. Journal of Modern Applied Statistical Methods 12 (1):58–64. doi:10.22237/jmasm/1367381400.
   Google Scholar
• Upadhyaya, L. N., and H. P. Singh. 1999. Use of transformed auxiliary variable in estimating the finite population mean. Biometrical Journal 41 (5):627–36. doi:10.1002/(SICI)1521-4036(199909)41:5<627::AID-BIMJ627>3.0.CO;2-W.
   Web of Science ®Google Scholar
• Zaman, T., and H. Bulut. 2019. Modified ratio estimators using robust regression methods. Communications in Statistics - Theory and Methods 48 (8):2039–48. doi:10.1080/03610926.2018.1441419.
   Web of Science ®Google Scholar
• Zaman, T., and H. Bulut. 2020. Modified regression estimators using robust regression methods and covariance matrices in stratified random sampling. Communications in Statistics - Theory and Methods 49 (14):3407–20. doi:10.1080/03610926.2019.1588324.
   Web of Science ®Google Scholar