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Estimating the population proportion in pair ranked set sampling with application to air quality monitoring

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  • Ehsan Zamanzade
  • M. Mahdizadeh

Abstract

In this paper, we consider the problem of estimating the population proportion in pair ranked set sampling design. An unbiased estimator for the population proportion is proposed, and its theoretical properties are studied. It is shown that the estimator is more (less) efficient than its counterpart in simple random sampling (ranked set sampling). Asymptotic normality of the estimator is also established. Application of the suggested procedure is illustrated using a data set from an environmental study.

Suggested Citation

  • Ehsan Zamanzade & M. Mahdizadeh, 2018. "Estimating the population proportion in pair ranked set sampling with application to air quality monitoring," Journal of Applied Statistics, Taylor & Francis Journals, vol. 45(3), pages 426-437, February.
  • Handle: RePEc:taf:japsta:v:45:y:2018:i:3:p:426-437
    DOI: 10.1080/02664763.2017.1279596
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    Cited by:

    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. 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.

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