A class of exponential-type ratio estimators of a general parameter

ABSTRACT

This paper addresses the problem of estimating a general parameter using information on an auxiliary variable X. We have suggested a class of exponential-type ratio estimators for the parameter and its properties are studied. It is identified that the estimators due to Upadhyaya et al. [Journal of Statistical Theory and Practice (2011), 5(2), 285–302] and Yadav and Kadilar [Revista Columbiana de Estadistica, (2013), 36(1), 145–152] are members of the proposed estimator. We have also shown that the suggested estimator is more efficient than the estimators of Upadhyaya et al. (2011) and Yadav and Kadilar (2013). Numerical illustration is provided in support of the present study.

KEYWORDS:

• Auxiliary variable
• bias
• efficiency
• mean squared error
• study variable

MATHEMATICS SUBJECT CLASSIFICATION:

• 62D05

Acknowledgments

The authors are thankful to the editor-in-chief Prof. N. Balakrishnan and to the referee for their valuable suggestions, leading to the improvement in the presentation of the paper.