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On estimating the distribution function and odds using ranked set sampling

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  • Eftekharian, A.
  • Razmkhah, M.

Abstract

The kernel estimators of the cumulative distribution function and population odds are proposed based on ranked set sampling scheme. It is shown that the kernel estimators are more efficient than the empirical ones in view of the mean squared error criterion. It is also concluded that ranked set sampling has better performance than simple random sampling, even when the rankings are not perfect.

Suggested Citation

  • Eftekharian, A. & Razmkhah, M., 2017. "On estimating the distribution function and odds using ranked set sampling," Statistics & Probability Letters, Elsevier, vol. 122(C), pages 1-10.
    • Handle: RePEc:eee:stapro:v:122:y:2017:i:c:p:1-10
    DOI: 10.1016/j.spl.2016.10.021
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    References listed on IDEAS

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    1. Quintela-del-Río, Alejandro & Estévez-Pérez, Graciela, 2012. "Nonparametric Kernel Distribution Function Estimation with kerdiest: An R Package for Bandwidth Choice and Applications," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 50(i08).
    2. Hall, Peter & Marron, J. S., 1987. "Estimation of integrated squared density derivatives," Statistics & Probability Letters, Elsevier, vol. 6(2), pages 109-115, November.
    3. Johan Lim & Min Chen & Sangun Park & Xinlei Wang & Lynne Stokes, 2014. "Kernel Density Estimator From Ranked Set Samples," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(10-12), pages 2156-2168, May.
    4. Kim, YongHee & Arnold, Barry C., 1999. "Parameter estimation under generalized ranked set sampling," Statistics & Probability Letters, Elsevier, vol. 42(4), pages 353-360, May.
    5. Lejeune, Michel & Sarda, Pascal, 1992. "Smooth estimators of distribution and density functions," Computational Statistics & Data Analysis, Elsevier, vol. 14(4), pages 457-471, November.
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    Cited by:

    1. Usman Shahzad & Ishfaq Ahmad & Fatimah Alshahrani & Ibrahim M. Almanjahie & Soofia Iftikhar, 2023. "Calibration-Based Mean Estimators under Stratified Median Ranked Set Sampling," Mathematics, MDPI, vol. 11(8), pages 1-21, April.

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