Abstract
Some predictive ratio type estimators in two stage sampling are derived following the model free predictive criterion proposed by Basu (1971) and these estimators are compared with the classical multistage ratio estimator and also with Smith’s (1969) multistage ratio estimator. A numerical illustration is provided to compare the efficiencies of different predictive estimators.
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References
Basu, D. (1971). An essay on the logical Foundations of Survey Sampling, Foundations of Statistical Inference, Part-I, Edited by V.P. Godambe and D.A. Sprott, Toronto, Holt Rinehart and Winston, 203–242.
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Smith, T.M.F. (1969). A note on ratio estimate in multistage sampling, J.R.S.S., A, 132, 426–430.
Sukhatme, P.V. and Sukhatme, B.V. and Asok, C. (1984). Sampling theory of surveys with applications, Ind. Soc. Ag. Stat., New Delhi.
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Swain, A.K.P.C., Mishra, S.S. & Pradhan, B.K. On Some Predictive Ratio Type Estimators in Two Stage Sampling. J Stat Theory Appl 12, 83–91 (2013). https://doi.org/10.2991/jsta.2013.12.1.7
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DOI: https://doi.org/10.2991/jsta.2013.12.1.7