Efficient Method of Estimating the Finite Population Mean Based on Two Auxiliary Variables in the Presence of Non-Response Under Stratified Sampling

  • Housila P. Singh School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh, India
  • Pragati Nigam Mandsaur University, Mandsaur, Madhya Pradesh, India
Keywords: Study variable, auxiliary variable, finite population, non-response, bias, mean squared error

Abstract

This article addresses the problem of estimating the population mean using information on two auxiliary variables in presence of non-response on study variable only under stratified random sampling. A class of estimators has been defined. We have derived the bias and mean squared error up to first order of approximation. Optimum conditions are obtained in which the suggested class of estimators has minimum mean squared error. In addition to Chaudhury et al. (2009) estimator, many estimators can be identified as a member of the suggested class of estimators. It has been shown that the suggested class of estimators is better than the Chaudhury et al. (2009) estimator and other estimators. Results of the present study are supported through numerical illustration.

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Author Biographies

Housila P. Singh, School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh, India

Housila P. Singh is Professor of Statistics at School of Studies in Statistics, Vikram University, Ujjain. He has guided 22 Ph.D. scholars and has published more than 500 research papers in national and international journals of repute.

Pragati Nigam, Mandsaur University, Mandsaur, Madhya Pradesh, India

Pragati Nigam is Assistant Professor of Statistics at Mandsaur University, Mandsaur. She completed her Ph.D. in 2021 from Vikram University, Ujjain under the guidance of Prof. H. P. Singh. Dr. Pragati published 4 research papers in national and international journals of repute.

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Published
2021-06-21
Section
Articles