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Optimal Strategy for Elevated Estimation of Population Mean in Stratified Random Sampling under Linear Cost Function

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  • Subhash Kumar Yadav

    (Babasaheb Bhimrao Ambedkar University)

  • Mukesh Kumar Verma

    (Babasaheb Bhimrao Ambedkar University)

  • Rahul Varshney

    (Babasaheb Bhimrao Ambedkar University)

Abstract

In this paper, we propose the exponential ratio-type estimator for the elevated estimation of population mean, implying one auxiliary variable in stratified random sampling using the conventional ratio and, Bahl and Tuteja exponential ratio-type estimators. The bias and the Mean Squared Error (MSE) of the proposed estimator are derived up to a first-order approximation and compared with existing estimators. Theoretically, we also compare MSE of the proposed estimator using the linear cost function with the competing estimators. The optimal values of the characterizing scalars are obtained and for these optimal values of characterizing scalars, the minimum MSE is obtained. We find theoretically that the proposed estimator is more efficient than other estimators under restricted conditions by formulating the proposed problem as an optimization problem under linear cost function. The numerical illustration is also included to verify theoretical findings for their practical utility. The estimator with least MSE is recommended for practical utility in different areas of applications of stratified random sampling.

Suggested Citation

  • Subhash Kumar Yadav & Mukesh Kumar Verma & Rahul Varshney, 2025. "Optimal Strategy for Elevated Estimation of Population Mean in Stratified Random Sampling under Linear Cost Function," Annals of Data Science, Springer, vol. 12(2), pages 517-538, April.
    • Handle: RePEc:spr:aodasc:v:12:y:2025:i:2:d:10.1007_s40745-024-00520-9
    DOI: 10.1007/s40745-024-00520-9
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    References listed on IDEAS

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    1. James M. Tien, 2017. "Internet of Things, Real-Time Decision Making, and Artificial Intelligence," Annals of Data Science, Springer, vol. 4(2), pages 149-178, June.
    2. Housila P. Singh & Gajendra K. Vishwakarma, 2010. "A general procedure for estimating the population mean in stratified sampling using auxiliary information," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 47-65.
    3. Ramkrishna Solanki & Housila Singh, 2015. "Efficient classes of estimators in stratified random sampling," Statistical Papers, Springer, vol. 56(1), pages 83-103, February.
    4. Nursel Koyuncu & Cem Kadilar, 2010. "On improvement in estimating population mean in stratified random sampling," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(6), pages 999-1013.
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