Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2022
  • Volume: 41e
  • Issue: 1

Estimation of the population mean by developing a new estimator

1Assistant Professor, Department of Mathematics, National Post Graduate CollegeBarhalganj, Gorakhpur-273402, Uttar Pradesh, India E-mail: sudhanshu30187@gmail.com

2Assistant Professor, Department of Agricultural Statistics, National Post Graduate CollegeBarhalganj, Gorakhpur-273402, Uttar Pradesh, India E-mail: sonishivshankar@gmail.com

3Assistant Professor, Department of Agricultural Economics, National Post Graduate CollegeBarhalganj, Gorakhpur-273402, Uttar Pradesh, India E-mail: ramsahaychaubeynpg@gmail.com

*Corresponding Author: Sudhanshu Aggarwal, Assistant Professor, Department of Mathematics, National Post Graduate CollegeBarhalganj, Gorakhpur-273402, Uttar Pradesh, India E-mail: sudhanshu30187@gmail.com

Online published on 6 July, 2022.

Abstract

In the presented paper, authors propose a new estimator by combining two already exist ratio estimators and estimate the population mean in simple random sampling. Authors also determine the mean square error (MSE) of this estimator. In the last of this paper, they show that the presented estimator is more efficient than the existing ratio estimators theoretically and numerically.

Keywords

Mean Square Error, Taylor Series Method, Ratio Estimator, Population Mean, Simple Random Sampling