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A new estimator of finite population mean based on the dual use of the auxiliary information

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  • Abdul Haq
  • Manzoor Khan
  • Zawar Hussain

Abstract

When a sufficient correlation between the study variable and the auxiliary variable exists, the ranks of the auxiliary variable are also correlated with the study variable, and thus, these ranks can be used as an effective tool in increasing the precision of an estimator. In this paper, we propose a new improved estimator of the finite population mean that incorporates the supplementary information in forms of: (i) the auxiliary variable and (ii) ranks of the auxiliary variable. Mathematical expressions for the bias and the mean-squared error of the proposed estimator are derived under the first order of approximation. The theoretical and empirical studies reveal that the proposed estimator always performs better than the usual mean, ratio, product, exponential-ratio and -product, classical regression estimators, and Rao (1991), Singh et al. (2009), Shabbir and Gupta (2010), Grover and Kaur (2011, 2014) estimators.

Suggested Citation

  • Abdul Haq & Manzoor Khan & Zawar Hussain, 2017. "A new estimator of finite population mean based on the dual use of the auxiliary information," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(9), pages 4425-4436, May.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:9:p:4425-4436
    DOI: 10.1080/03610926.2015.1083112
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    Cited by:

    1. Sohail Muhammed Umair & Shabbir Javid & Sohil Fariha, 2019. "Imputation Of Missing Values By Using Raw Moments," Statistics in Transition New Series, Statistics Poland, vol. 20(1), pages 21-40, March.
    2. Ayesha Khalid & Aamir Sanaullah & Mohammed M. A. Almazah & Fuad S. Al-Duais, 2023. "An Efficient Ratio-Cum-Exponential Estimator for Estimating the Population Distribution Function in the Existence of Non-Response Using an SRS Design," Mathematics, MDPI, vol. 11(6), pages 1-15, March.
    3. Muhammed Umair Sohail & Javid Shabbir & Farinha Sohil, 2019. "Imputation Of Missing Values By Using Raw Moments," Statistics in Transition New Series, Polish Statistical Association, vol. 20(1), pages 21-40, March.

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