A note on the estimators for coefficient of dispersion using auxiliary information

Abstract

Ambati et al. (2017) proposed an estimator for estimating the unknown coefficient of dispersion under simple random sampling without replacement case. Erroneously, the mean squared error (MSE) expression obtained by Ambati et al. (2017) was incorrect. In this paper, we have obtained correct expression of the MSE of the estimators proposed by Ambati et al. (2017). A simulation study is carried out to demonstrate the theoretical results empirically.

Keywords:

• Auxiliary variable
• Coefficient of dispersion
• Mean squared error
• Simple random sampling
• Simulation study

Acknowledgments

The authors are thankful to Dr. Sarjinder Singh and both the referees for their valuable suggestions regarding improvement of the paper.

Disclosure statement

No potential conflict of interest was reported by the authors.