An Efficient Estimator for Estimating Population Variance in Presence of Measurement Errors


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Authors

  • Sheela Misra Department of Statistics, University of Lucknow, Lucknow, India
  • Dharmendra Kumar Yadav Department of Statistics, University of Lucknow, Lucknow, India
  • Dipika Department of Statistics, University of Lucknow, Lucknow, India

Keywords:

Variance, Measurement Errors, Bias, MSE, Efficiency, Simulation, R software

Abstract

The present paper advocates the problem of estimating population variance when the measurement errors are present in both the study variable and the auxiliary variable.Bias and Mean Square Error (MSE) of the proposed estimator is obtained up to first order of approximation. Theoretical efficiency comparison between usual variance estimator and the proposed estimator is also made under measurement errors.Theoretical results are supported by simulation study using R software.

 

Author Biographies

Sheela Misra, Department of Statistics, University of Lucknow, Lucknow, India

 

 

Dharmendra Kumar Yadav, Department of Statistics, University of Lucknow, Lucknow, India

 

 

Dipika, Department of Statistics, University of Lucknow, Lucknow, India

 

 

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Published

15-06-2016

How to Cite

Sheela Misra, Dharmendra Kumar Yadav, & Dipika. (2016). An Efficient Estimator for Estimating Population Variance in Presence of Measurement Errors. International Journal of Mathematics And Its Applications, 4(2 - D), 23–28. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1063

Issue

Vol. 4 No. 2 - D (2016)

Section

Research Article

License

Copyright (c) 2023 International Journal of Mathematics And its Applications

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