Robust estimation of finite population total

Manoj Kumar Srivastava; Namita Srivastava

doi:https://doi.org/10.59170/stattrans-2010-008

Robust estimation of finite population total

Manoj Kumar Srivastava Department of Statistics, Institute of Social Sciences, Dr. BRA University, Agra-282002, U.P. India , Namita Srivastava Department of Statistics, St. John's College, Agra-282002, U.P. India Statistics in Transition new series, vol. 11, 2010, 1, pages: 127-144 Published online: 1 July 2010 https://doi.org/10.59170/stattrans-2010-008

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ABSTRACT

The present paper deals with the robust prediction of finite population total under the superpopulation modelGR . The design is de-emphasized while developing these predictors under the superpopulation model and making comparison among all resistant estimators. The suggested proposals involve reweighed iterative algorithm for Robust Prediction. The discussion also involves the calculation of asymptotic bias and variance in terms of the influence function computed for these predictors. Two populations have been considered for simulation study to judge the performance of proposed predictors with conventional and model based existing alternatives.

KEYWORDS

Influence function, Prediction approach, M-estimator, Superpopulation models.

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