Abstract
In this paper, a general class of estimators for the estimation of a finite population total in multi-character surveys is proposed. It is shown that the estimators proposed by Arnab (2002), Amahiaet al. (1989) and Bansal and Singh (1985) are the special cases of the proposed class of estimators. The proposed class of estimators is always more efficient than the estimator proposed by Rao (1966).
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Amahia, G.N., Chaubey, Y.P. and Rao, T.J. (1989). Efficiency of a new estimator in PPS sampling for multiple characteristics.J. Statist. Plann and Inference, 21, 75–84.
Arnab, R. (2002). Estimation of a finite population total in varying probability sampling for multi-character surveys.Metrika, 52, 21–31.
Bansal, M.L. and Singh, R. (1985). An alternative estimator for multiple characteristics in PPS sampling.J. Statist. Plann. and Inference, 11, 313–320.
Bansal, M.L. and Singh, R. (1989). An alternative estimator for multiple characteristics corresponding to Horvitz and Thompson estimator in probability proportional to size and without replacement sampling.Statistica, 49(3), 447–472.
Bansal, M.L. and Singh, R. (1990). An alternative estimator for multiple characteristics in RHC sampling scheme.Commun. Statist.-Theory Meth., 19(5), 1777–1784.
Bansal, M.L., Singh, S., Singh, R. (1994). Multi-character survey using randomized response technique.Commun Statist—Theory Meth. 23(6), 1705–1715.
Grewal, I., Bansal, M.L. and Singh, S. (1999). An alternative estimator for multiple characteristics using randomized response technique in pps sampling.Aligarh J. Statist. 19, 51–65.
Horvitz, D. G. and Thompson, D. J. (1952). A generalization of sampling without replacement from a finite universe.J. Amer. Statist. Assoc., 47, 663–685.
Kumar, P. and Agarwal, S.K. (1997). Alternative estimators for the population totals in multiple characteristic survey.Commun. Statist.—Theory Meth., 26(10), 2527–2537.
Rao, J.N.K. (1966). Alternative estimators in the PPS sampling for multiple characteristics.Sankhy ā, 28(A), 47–60.
Rao, J.N.K., Hartley, H.O. and Cochran, W.G. (1962). A simple procedure of unequal probability sampling without replacement. J. R. Statist. Soc., B, 24, 482–491.
Rao, T.J. (1987).On certain alternative estimators for multiple characteristics in varying probability sampling. Tech. Report No. 21/87, Stat-Math Division, I.S.I. Calcutta.
Rao, T.J. (1993a). On certain problems of sampling designs and estimation for multiple characteristics.Sankhy ā, B, 55, 372–381.
Rao, T.J. (1993b). On certain alternative estimators for multiple characteristics in varying probability sampling.J. Indian Soc. Agril. Statist., 45, 307–318.
Sampath, S. (1989). On the optimal choice of unknowns in ratio type estimators.J. Indian Soc. Agril. Statist, 41, 166–172.
Singh, S. and Horn, S. (1998). An alternative estimator for multicharacter surveys.Metrika, 48, 99–107.
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Singh, S., Grewal, I.S. & Joarder, A. General class of estimators in multi-character surveys. Statistical Papers 45, 571–582 (2004). https://doi.org/10.1007/BF02760569
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DOI: https://doi.org/10.1007/BF02760569