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ABSTRACT
In this note, we consider the problem of estimation of coefficient of dispersion of a study variable by making use of known value of the coefficient of dispersion of an auxiliary variable. We propose ratio and regression-type estimators. We derive expressions of bias and variance of the proposed estimators to the first order of approximation. The relative efficiencies of the ratio and regression-type estimators with respect to the naïve estimator are investigated through a simulation study.
MATHEMATICAL SUBJECT CLASSIFICATION:
Acknowledgments
The authors are thankful to the Editor-in-Chief Prof. N. Balakrishnan, ADM: Mrs. Debbie Iscoe, and two learned referees for bringing the original manuscript in the final form. We also duly acknowledge the use of R-software to the, R Development Core Team (Citation2009). Sai Kiran Ambati is currently working as a Bigdata Analyst, Dextro Software Systems Inc., 14 Washington Road, Building S, Princeton Junction, New Jersey-08550, USA.