Abstract
A number of estimators formulated in the field of the ratio method of estimation has been presented. A class of estimators encompassing these estimators is constructed. It is noted that an optimum estimator does not exist uniformly in this class. The “Optimum” so obtained reduces to the usual regression estimator.
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References
Srivastava, S. K. (1967). An estimator using auxiliary information in sample surveys. Calcutta Statist. Ass. Bull. 16, 121–132.
Ray, S. K. Sahai, A. and A. Sahai, (1979), A note on ratio and product type estimators, Ann. Inst. Statist. Math. 31, 141–144.
Srivenkataramana, T. and D. S. Tracy (1979). On ratio and product methods of estimation in sampling. Statist. Neerl. 33, 37–49.
Vos, J. W. E. (1980), Mixing of direct, ratio and product method of estimators, Statist. Neerl. 34, 209–218.
Sahai, A. and S. K. Ray (1980). An efficient estimator using auxiliary information, Metrika. 27, 271–275.
Sisodia, B. V. S. and V. K. Dwivedi, (1981). A class of ratio cum product type estimators. Biom. J. 23, 133–139.
Shukla, N. D. and S. K. Pandey, (1982). A note on product estimator, Pure Appl. Math. Soc. 15, 12, 97–101.
Singh, R. K. and S. K. Pandey (1983). A transformed generalised product—type estimator, Pure Appl. Math. Sci. 18, 1–2, 67–73.
Yogi, A. K. and P. C. Gupta, (1985). On higher degree ratiocum-product estimators. J. Statistical Research, 19, 31–40.
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This research work was supported by the University Grants Commission, Awardee Code No. MTH 90 709, Institution Code No. A 054 0000.
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Prabhu-Ajgaonkar, S.G. Non-existence of an optimum estimator in a class of ratio estimators. Statistical Papers 34, 161–165 (1993). https://doi.org/10.1007/BF02925537
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DOI: https://doi.org/10.1007/BF02925537