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A more efficient proportion estimator in ranked set sampling

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  • Zamanzade, Ehsan
  • Mahdizadeh, M.

Abstract

We propose a new estimator for the population proportion using a concomitant-based ranked set sampling (RSS) scheme. Simulation results show that the new estimator beats the standard estimator in the RSS as long as the ranking quality is fairly good.

Suggested Citation

  • Zamanzade, Ehsan & Mahdizadeh, M., 2017. "A more efficient proportion estimator in ranked set sampling," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 28-33.
    • Handle: RePEc:eee:stapro:v:129:y:2017:i:c:p:28-33
    DOI: 10.1016/j.spl.2017.05.001
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    References listed on IDEAS

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    1. Zamanzade, Ehsan & Vock, Michael, 2015. "Variance estimation in ranked set sampling using a concomitant variable," Statistics & Probability Letters, Elsevier, vol. 105(C), pages 1-5.
    2. Modarres, Reza & Hui, Terrence P. & Zheng, Gang, 2006. "Resampling methods for ranked set samples," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 1039-1050, November.
    3. Steven N. MacEachern & Ömer Öztürk & Douglas A. Wolfe & Gregory V. Stark, 2002. "A new ranked set sample estimator of variance," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(2), pages 177-188, May.
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    Cited by:

    1. Elham Zamanzade & Majid Asadi & Afshin Parvardeh & Ehsan Zamanzade, 2023. "A ranked-based estimator of the mean past lifetime with an application," Statistical Papers, Springer, vol. 64(1), pages 161-177, February.
    2. Zeinab Akbari Ghamsari & Ehsan Zamanzade & Majid Asadi, 2024. "Using nomination sampling in estimating the area under the ROC curve," Computational Statistics, Springer, vol. 39(5), pages 2721-2742, July.
    3. 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.
    4. Radhakanta Das & Vivek Verma & Dilip C. Nath, 2017. "Bayesian Estimation Of Measles Vaccination Coverage Under Ranked Set Sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 18(4), pages 589-608, December.
    5. M. Mahdizadeh & Ehsan Zamanzade, 2020. "Estimating asymptotic variance of M-estimators in ranked set sampling," Computational Statistics, Springer, vol. 35(4), pages 1785-1803, December.
    6. Ehsan Zamanzade & M. Mahdizadeh & Hani M. Samawi, 2020. "Efficient estimation of cumulative distribution function using moving extreme ranked set sampling with application to reliability," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 104(3), pages 485-502, September.
    7. M. Mahdizadeh & Ehsan Zamanzade, 2021. "Smooth estimation of the area under the ROC curve in multistage ranked set sampling," Statistical Papers, Springer, vol. 62(4), pages 1753-1776, August.
    8. Das Radhakanta & Verma Vivek & Nath Dilip C., 2017. "Bayesian Estimation of Measles Vaccination Coverage Under Ranked Set Sampling," Statistics in Transition New Series, Polish Statistical Association, vol. 18(4), pages 589-608, December.
    9. M. Mahdizadeh & Ehsan Zamanzade, 2018. "Interval estimation of $$P(X," Computational Statistics, Springer, vol. 33(3), pages 1325-1348, September.
    10. Mohamed S. Abdallah & Amer I. Al-Omari & Naif Alotaibi & Ghadah A. Alomani & A. S. Al-Moisheer, 2022. "Estimation of distribution function using L ranked set sampling and robust extreme ranked set sampling with application to reliability," Computational Statistics, Springer, vol. 37(5), pages 2333-2362, November.

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