Two-step calibration of design weights in survey sampling

References

• Arcos, A., Rueda, M., Martinez, M.D., Gonzalez, S. Roman, Y. (2005). Incorporating the auxiliary information available in variance estimation. Appl. Math. Computat., 160(2):387–399.
   Web of Science ®Google Scholar
• Arcos, A., Contreras, J.M., Rueda, M.M. (2013). A novel calibration estimator in social surveys. Sociolog. Meth. Res. DOI: 10.1177/0049124113507906 (Published on line Nov. 2013)
   Web of Science ®Google Scholar
• Deville, J.C., Sarndal, C.E. (1992). Calibration estimators in survey sampling. J. Amer. Statist. Assoc. 87:376–382.
   Web of Science ®Google Scholar
• Estevao, V.M., Sarndal, C.E. (2003). A new perspective on calibration estimators. Joint Statist. Meet.-Sect. Surv. Res. Meth. 1346–1356.
   Google Scholar
• Farrell, P.J., Singh, S. (2002). Penalized chi square distance function in survey sampling. Proc. JSM, New York (Available on CD).
   Google Scholar
• Farrell, P.J., Singh, S. (2005). Model-assisted higher order calibration of estimators of variance. Austra. NZ J. Statist. 47(3):375–383.
   Web of Science ®Google Scholar
• Hansen, M.H., Hurwitz, W.N., Madow, W.G. (1953). Sample Survey Methods and Theory. New York: John Wiley and Sons, pp. 456–464.
   Google Scholar
• Horvitz, D.G., Thompson, D.J. (1952). A generalization of sampling without replacement from a finite universe. J. Amer. Statist. Assoc. 47:663–685.
   Web of Science ®Google Scholar
• Kim, J.K. (2010). Calibration estimation using exponential tilting in sample surveys. Surv. Methodol., 36:145–155.
   Web of Science ®Google Scholar
• Kott, P.S. (2003). An overview of calibration weighting. Joint Statist. Meet. Sec. Surv. Meth. 2241–2252.
   Google Scholar
• Midzuno, H. (1952). On the sampling system with probability proportional to sum of sizes. Ann. Inst. Statist. Math. 3:99–107.
   Google Scholar
• Montanari, G.E., Ranalli, G. (2005). Nonparametric model calibration estimation in survey sampling. J. Amer. Statist. Assoc. 100(472):1429–1442.
   Web of Science ®Google Scholar
• Rueda, M., Arcos, A. (2001). On estimating the median from survey data using multiple auxiliary information. Metrika 54(1):59–76.
   Web of Science ®Google Scholar
• Rueda, M., Martinez, S., Martinez, H., Arcos, A. (2006). Mean estimation with calibration techniques in presence of missing data. Computat. Statist. Data Anal., 50:3263–3277.
   Web of Science ®Google Scholar
• Rueda, M., Martinez, S., Martinez, H., Arcos, A. (2007a). Estimation of the distribution function with calibration methods. J. Statist. Plann. Infer. 137:435–448.
   Web of Science ®Google Scholar
• Rueda, M., Munoz, J.F., Berger, Y.G., Arcos, A., Martinez, S. (2007b). Pseudo empirical likelihood method in the presence of missing data. Metrika 65(3):349–367.
   Web of Science ®Google Scholar
• Rueda, M, Sanchez-Borrego, I, Arcos, A, Martinez, S. (2009). Model-calibration estimation of the distribution function using nonparametric regression. Metrika 71(1):33–44.
   Web of Science ®Google Scholar
• Singh, S. (2003). Advanced Sampling Theory with Applications: How Michael ‘Selected’ Amy. Kluwer Academic Publisher, pp. 1–1247.
   Google Scholar
• Singh, S. (2004). Golden and silver jubilee year-2003 of the linear regression estimators. Proceedings of the ASA Section on Survey Research Methods, Toronto, 4382–4389.
   Google Scholar
• Singh, S. (2006). Survey statisticians celebrate Golden Jubilee Year-2003 of the linear regression estimator. Metrika pp 1–18.
   Web of Science ®Google Scholar
• Singh, S. (2011). A dual problem of calibration of design weights. Statistics 47(3):566–574.
   Web of Science ®Google Scholar
• Singh, S. (2012). Calibration of design weights using a displacement function. Metrika, 75(1):85–107.
   Web of Science ®Google Scholar
• Singh, S., Arnab, R. (2011). On calibration of design weights. Metron IXIX(2):185–205.
   Google Scholar
• Stearns, M., Singh, S. (2008). On the estimation of the general parameter. Computat. Statist. Data Anal. 52, 4253–4271.
   Web of Science ®Google Scholar
• Wu, C., Sitter, R.R. (2001). A model-calibration approach to using complete auxiliary information from survey data. J. Amer. Statist. Assoc., 96:185–193.
   Web of Science ®Google Scholar