Comparative study of different imputation methods

References

• Ahmed, M., O. Al-Titi, Z. Al-Rawi, and W. Abu-Dayyeh. 2006. Estimation of a population mean using different imputation methods. Statistics in Transition 7 (6):1247–64.
   Google Scholar
• Bahl, S., and R. Tuteja. 1991. Ratio and product type exponential estimators. Journal of Information and Optimization Sciences 12 (1):159–64. doi: 10.1080/02522667.1991.10699058.
   Google Scholar
• Bedi, P. 1996. Efficient utilization of auxiliary information at estimation stage. Biometrical Journal 38 (8):973–6. doi: 10.1002/bimj.4710380809.
   Web of Science ®Google Scholar
• Bhushan, S., A. Pratap Pandey, and A. Pandey. 2020. On optimality of imputation methods for estimation of population mean using higher order moment of an auxiliary variable. Communications in Statistics – Simulation and Computation 49 (6):1560–74. doi: 10.1080/03610918.2018.1500595.
   Web of Science ®Google Scholar
• Farrell, P. J., and S. Singh. 2005. Model-assisted higher-order calibration of estimators of variance. Australian & New Zealand Journal of Statistics 47 (3):375–83. doi: 10.1111/j.1467-842X.2005.00402.x.
   Web of Science ®Google Scholar
• Grover, L. K., and P. Kaur. 2011. An improved estimator of the finite population mean in simple random sampling. Model Assisted Statistics and Applications 6 (1):47–55. doi: 10.3233/MAS-2011-0163.
   Google Scholar
• Grover, L. K., and P. Kaur. 2014. A generalized class of ratio type exponential estimators of population mean under linear transformation of auxiliary variable. Communications in Statistics – Simulation and Computation 43 (7):1552–74. doi: 10.1080/03610918.2012.736579.
   Web of Science ®Google Scholar
• Heitjan, D. F., and S. Basu. 1996. Distinguishing missing at random and missing completely at random. The American Statistician 50 (3):207–13.
   Web of Science ®Google Scholar
• Herrera, C. N. B., and A. I. Al-Omari. 2011. Ranked set estimation with imputation of the missing observations: The median estimator. Revista Investigación Operacional 32 (1):30–7.
   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., Y. Unyazici, and H. Cingi. 2009. Ratio estimator for the population mean using ranked set sampling. Statistical Papers 50 (2):301–9. doi: 10.1007/s00362-007-0079-y.
   Web of Science ®Google Scholar
• Khoshnevisan, M., R. Singh, P. Chauhan, and N. Sawan. 2007. A general family of estimators for estimating population mean using known value of some population parameter (s). Far East Journal of Theoretical Statistics 22 (9):181–91.
   Google Scholar
• Mohamed, C., S. A. Sedory, and S. Singh. 2017. Imputation using higher order moments of an auxiliary variable. Communications in Statistics – Simulation and Computation 46 (8):6588–617. doi: 10.1080/03610918.2016.1208235.
   Web of Science ®Google Scholar
• Rao, T. 1991. On certail methods of improving ration and regression estimators. Communications in Statistics – Theory and Methods 20 (10):3325–40. doi: 10.1080/03610929108830705.
   Web of Science ®Google Scholar
• Rosner, B. 2015. Fundamentals of bio-statistics. Toronto: Nelson Education.
   Google Scholar
• Rubin, D. B. 1976. Inference and missing data. Biometrika 63 (3):581–92. doi: 10.1093/biomet/63.3.581.
   Web of Science ®Google Scholar
• Rubin, D. B. 2004. Multiple imputation for nonresponse in surveys, volume 81. Chichester: John Wiley & Sons.
   Google Scholar
• Searls, D. T. 1964. The utilization of a known coefficient of variation in the estimation procedure. Journal of the American Statistical Association 59 (308):1225–6. doi: 10.1080/01621459.1964.10480765.
   Web of Science ®Google Scholar
• Shabbir, J., and S. Gupta. 2010. On estimating finite population mean in simple and stratified random sampling. Communications in Statistics – Theory and Methods 40 (2):199–212. doi: 10.1080/03610920903411259.
   Web of Science ®Google Scholar
• Shahzad, U., I. Ahmad, E. Oral, M. Hanif, and I. M. Almanjahie. 2020a. Estimation of the population mean by successive use of an auxiliary variable in median ranked set sampling. Mathematical Population Studies. doi: 10.1080/08898480.2020.1816703.
   Web of Science ®Google Scholar
• Shahzad, U., N. H. Al-Noor, M. Hanif, and I. Sajjad. 2020b. An exponential family of median based estimators for mean estimation with simple random sampling scheme. Communications in Statistics –Theory and Methods. doi: 10.1080/03610926.2020.1725828.
   Google Scholar
• Shahzad, U., N. H. Al-Noor, M. Hanif, I. Sajjad, and M. Muhammad Anas. 2020c. Imputation based mean estimators in case of missing data utilizing robust regression and variance co-variance matrices. Communications in Statistics – Simulation and Computation. doi: 10.1080/03610918.2020.1740266.
   Web of Science ®Google Scholar
• Shahzad, U., P. F. Perri, and M. Hanif. 2019. A new class of ratio-type estimators for improving mean estimation of nonsensitive and sensitive variables by using supplementary information. Communications in Statistics – Simulation and Computation 48 (9):2566–85. doi: 10.1080/03610918.2018.1458133.
   Web of Science ®Google Scholar
• Singh, S. 2003. Advanced sampling theory with applications: How Michael selected Amy, volume 2. The Netherlands: Springer Science & Business Media.
   Google Scholar
• Singh, R., P. Chauhan, N. Sawan, and F. Smarandache. 2009. Improvement in estimating the population mean using exponential estimator in simple random sampling. International Journal of Statistics and Economics 3 (A09):13–8.
   Google Scholar
• Singh, S., and S. Horn. 1998. An alternative estimator for multi-character surveys. Metrika 48 (2):99–107.
   Web of Science ®Google Scholar
• Singh, R., and N. S. Mangat. 1996. Elements of survey sampling. Dordrecht: Kluwer Academic Publishers.
   Google Scholar
• Sohail, M., S. Javid, and S. Ahmed. 2018. Generalized family of estimators for imputing scrambled responses. Journal of the Iranian Statistical Society 17 (2):91–117.
   Google Scholar
• Srivastava, S. K., and H. S. Jhajj. 1981. A class of estimators of the population mean in survey sampling using auxiliary information. Biometrika 68 (1):341–3. doi: 10.1093/biomet/68.1.341.
   Web of Science ®Google Scholar
• Yadav, S. K., and C. Kadilar. 2013. Efficient family of exponential estimators for the population mean. Hacettepe Journal of Mathematics and Statistics 42 (6):671–7.
   Web of Science ®Google Scholar
• Yadav, S. K., and T. Zaman. 2021. Use of some conventional and non-conventional parameters for improving the efficiency of ratio-type estimators. Journal of Statistics and Management Systems doi: 10.1080/09720510.2020.186493.
   Web of Science ®Google Scholar
• Yasmeen, U., M. Noor Ul Amin, and M. Hanif. 2016. Exponential ratio and product type estimators of finite population mean. Journal of Statistics and Management Systems 19 (1):55–71. doi: 10.1080/09720510.2015.1040249.
   Web of Science ®Google Scholar
• Zaman, T., and C. Kadilar. 2021a. Exponential ratio and product type estimators of the mean in stratified two-phase sampling. AIMS Mathematics 6 (5):4265–79. doi: 10.3934/math.2021252.
   Web of Science ®Google Scholar
• Zaman, T., and C. Kadilar. 2021b. New class of exponential estimators for finite population mean in two-phase sampling. Communications in Statistics – Theory and Methods 50 (4):874–89. doi: 10.1080/03610926.2019.1643480.
   Web of Science ®Google Scholar