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Estimation Procedures for Population Mean using EWMA for Time Scaled Survey

Author

Listed:
  • Prayas Sharma

    (Babasaheb Bhimrao Ambedkar University)

  • Poonam Singh

    (Banaras Hindu University)

  • Mamta Kumari

    (Babasaheb Bhimrao Ambedkar University)

  • Rajesh Singh

    (Banaras Hindu University)

Abstract

The primary objective of sample survey is to have an estimate of population parameter. The more is the available information the better is an estimate. In this study, the Exponentially Weighted Moving Average statistic is used to estimate the population mean with auxiliary information. For the purpose of estimating population mean, we have designed a memory type class of estimator. The properties of proposed generalized class of estimators are derived up-to the first order of approximation. To avoid any data dependency on the performance of the proposed estimators, A comprehensive simulation study is presented to evaluate the performance of proposed estimator and to compare the proposed estimator with the existing memory type estimator. The results of the simulation study are supported by an empirical investigation that is provided using data from real world sources.

Suggested Citation

  • Prayas Sharma & Poonam Singh & Mamta Kumari & Rajesh Singh, 2025. "Estimation Procedures for Population Mean using EWMA for Time Scaled Survey," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 87(1), pages 103-128, May.
    • Handle: RePEc:spr:sankhb:v:87:y:2025:i:1:d:10.1007_s13571-024-00347-7
    DOI: 10.1007/s13571-024-00347-7
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    References listed on IDEAS

    as
    1. Shashi Bhushan & Anoop Kumar, 2022. "Novel Log Type Class Of Estimators Under Ranked Set Sampling," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(1), pages 421-447, May.
    2. Shashi Bhushan & Anoop Kumar & Amani Alrumayh & Hazar A Khogeer & Ronald Onyango, 2022. "Evaluating the performance of memory type logarithmic estimators using simple random sampling," PLOS ONE, Public Library of Science, vol. 17(12), pages 1-13, December.
    3. Shashi Bhushan & Anoop Kumar & Amer Ibrahim Al-Omari & Ghadah A. Alomani, 2023. "Mean Estimation for Time-Based Surveys Using Memory-Type Logarithmic Estimators," Mathematics, MDPI, vol. 11(9), pages 1-14, April.
    4. Rajesh Singh & Rohan Mishra, 2023. "Ratio-cum-product Type Estimators for Rare and Hidden Clustered Population," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 33-53, May.
    5. Shashi Bhushan & Anoop Kumar, 2022. "Correction to: Novel Log Type Class of Estimators Under Ranked Set Sampling," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(1), pages 448-448, May.
    6. Muhammad Noor-ul-Amin, 2021. "Memory type estimators of population mean using exponentially weighted moving averages for time scaled surveys," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(12), pages 2747-2758, June.
    7. Shashi Bhushan & Anoop Kumar, 2022. "On optimal classes of estimators under ranked set sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(8), pages 2610-2639, April.
    Full references (including those not matched with items on IDEAS)

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