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Generalized Difference-Cum Exponential Class of Estimators for Estimating Population Parameters of the Sensitive Variable

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  • Gajendra K. Vishwakarma
  • Subhash Kumar Yadav
  • Tarushree Bari
  • Gajendra Vishwakarma

Abstract

We propose a generalized class of estimators to estimate general population parameters of susceptible research variables using additional auxiliary information in SRSWOR. The population constants such as the coefficient of variation, the population mean, the standard deviation, and the population mean square are defined using a conventional estimator. The expression for the mean square errors of the proposed class is derived up to the first order of approximation. To compare the effectiveness of the proposed class of estimators, an empirical study is conducted utilizing real and simulated data sets. Theoretical and empirical research demonstrates that the suggested generalized class of estimators outperforms other current estimators.

Suggested Citation

  • Gajendra K. Vishwakarma & Subhash Kumar Yadav & Tarushree Bari & Gajendra Vishwakarma, 2022. "Generalized Difference-Cum Exponential Class of Estimators for Estimating Population Parameters of the Sensitive Variable," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-11, May.
  • Handle: RePEc:hin:jnlmpe:7890489
    DOI: 10.1155/2022/7890489
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