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Generalized exponential estimators for the finite population mean

Author

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  • Zaman Tolga

    (Çankırı Karatekin University, Faculty of Science, Department of Statistics, 18100 Çankırı, Turkey .)

Abstract

This study proposes a new class of exponential-type estimators in simple random sampling for the estimation of the population mean of the study variable using information of the population proportion possessing certain attributes. Theoretically, mean squared error (MSE) equations of the suggested ratio exponential estimators are obtained and compared with the Naik and Gupta (1996) ratio and product estimators, the ratio and product exponential estimator presented in Singh et al. (2007) and the ratio exponential estimators presented in Zaman and Kadilar (2019a). As a result of these comparisons, it is observed that the proposed estimators always produce more efficient results than the others. In addition, these theoretical results are supported by the application of original datasets.

Suggested Citation

  • Zaman Tolga, 2020. "Generalized exponential estimators for the finite population mean," Statistics in Transition New Series, Polish Statistical Association, vol. 21(1), pages 159-168, March.
    • Handle: RePEc:vrs:stintr:v:21:y:2020:i:1:p:159-168:n:1
    DOI: 10.21307/stattrans-2020-009
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