IMPROVEMENT FOR ESTIMATING POPULATION MEAN IN SIMPLE RANDOM SAMPLING SCHEME

  • Gagan Kumar Department of Economics, Govt. Degree College, Pihani, Hardoi, India
  • Priyanka Bharti Department of Economics, DDU Govt. PG College, Sitapur, India
  • S.K. Yadav Department of Statistics, Babasaheb Bhimrao Ambedkar University, Lucknow, India
  • Surendra Kumar Department of Mathematics, Govt. Degree College Pihani, Hardoi, India
Keywords: Main Variable, Secondary Variable, Exponential Ratio Estimators, Bias, MSE, Efficiency

Abstract

This article, considers the improved population mean estimation without increasing the cost of the survey. An improved estimator for mean of population characteristic has been suggested which makes use of population median of main (study) variable. We study the sampling properties of the proposed estimator up to the approximation of order one. The least value of the mean squared error (MSE) for the optimum value of the constant of the suggested estimator has been obtained. The suggested estimator is compared with the competing estimators. The theoretical findings are justified with a numerical example. Through the numerical example we show the improvement of suggested estimator over other competing estimators.

 

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Published
2019-04-17
Section
Articles