Robust Estimation in Finite Population Sampling under Model based Prediction Approach
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Authors
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B.V.S. Sisodia
Acharya Narendra Deva University of Agriculture and Technology, Ayodhya
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R.P. Kaushal
SDJ PG College, Chandeshwar, Azamgarh
Keywords:
Super population models; Stratified sampling; Balanced sample; Overbalanced sample; General polynomial models.Abstract
In the present paper, some important contributions on estimation of finite population parameters under model-based prediction approach are reviewed. Following Scott et al. (1978), a BLU predictor of population total in model-based prediction approach under the model 2 (0,1: ) hk ξ x in stratified sampling when the slope of the model is common across the strata is constructed. Its robustness and optimality is studied when some general polynomial model of degree j, i.e., 2 0 1 ( , ,....., : ) J hk ξδ δ δ x is true in real practice. It has been found that the proposed predictor is robust and optimal for stratified balanced sample and it is also more efficient than the predictor developed by Scott et al. (1978) when slopes are uncommon across the stratum.
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References
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