Optimal Estimation of Population Mean in the Presence of Random Non-Response
Keywords:
Finite population, auxiliary information, random non-response, mean square error, percentage relative efficiencyAbstract
In the present paper, we have proposed some improved ratio and regression (or difference) type estimators of the finite population mean utilizing the information on auxiliary variables in the presence of random non-response. Using the Searls (1964) methodology, some improved ratio and regression (or difference) type estimators have been suggested in two different situations of random non-response and studied their properties. Proposed classes of estimators are empirically compared with some contemporary estimators of population mean under similar realistic conditions. Their performances have been demonstrated through numerical illustration followed by suitable recommendations.
References
Ahmed MS, Al-Titi O, Al-Rawi Z, Abu-dayyeh W. Estimation of finite population mean using random non-response in survey sampling. J Appl Stat Sci. 2009; 17(1): 1-12.
Ahmed S, Shabbir J, Hafeez W. Hansen and Hurwitz estimator with scrambled response on second call in stratified random sampling. J Stat Appl Prob. 2016; 5(2): 357-369.
Hafeez W, Shabbir J. Estimation of the finite population mean, using median based estimators in stratified random sampling. J Stat Appl Prob. 2015; 4(3): 367-374.
Hafeez W, Shabbir J, Shah MT, Ahmed S. Some median type estimators to estimate the finite population mean. Asian J Prob Stat. 2020; 7(4): 48-58.
Hansen MH, Hurwitz WN. The problem of non-response in sample surveys. J Am Stat Assoc. 1946; 41(236): 517-529.
Heitjan DF, Basu S. Distinguishing “Missing at Random” and “Missing Completely at Random”. Am Stat. 1996; 50(3): 207-213.
Isaki CT. Variance estimation using auxiliary information. J Am Stat Assoc. 1983; 7(381): 117–123.
Maji R, Singh GN, Bandyopadhyay A. Estimation of population mean in presence of random non-response in two-stage cluster sampling. Commun Stat A-Theor. 2019; 48(14): 3586-3608.
Rubin DB. Inference and missing data. Biometrika. 1976; 63(3): 581-592.
Searls DT. The Utilization of a known coefficient of variation in the estimation procedure. J Am Stat Assoc. 1964; 59(308): 1225-1226.
Singh HP, Tailor R, Kim JM, Singh S. Families of estimators of finite population variance using random non-response in survey sampling. Korean J Appl Stat. 2012; 25(4): 681-695.
Singh HP, Tracy DS. Estimation of population mean in the presence of random non-response in sample surveys. Statistica. 2001; 61(2):231-248.
Singh S, Joarder AH. Estimation of finite population variance using random non-response in survey sampling. Metrika. 1998; 47: 241-249.
Singh S, Joarder AH, Tracy DS. Regression type estimators for random non-response in survey sampling. Statistica. 2000; 60(1):39-44.
Singh S, Singh R. On random non-response in unequal sampling. Sankhya. 1979; 41:27-37.
Singh S, Singh R. On random non-response in double sampling with difference estimator. Commun Stat Simulat. 1985; 14(3): 747-757.
Srivastava SK. A class of estimators using auxiliary information in sample surveys. Can J Stat. 1980; 8: 253-254.
Srivastava SK, Jhajj HS. A class of estimators of the population mean in survey sampling using auxiliary information. Biometrika. 1981; 68(1): 341-343.
Tracy DS, Osahan SS. Random non-response on study variable versus on study as well as auxiliary variables. Statistica. 1994; 54(2): 163-168.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.