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Confidence intervals for quantiles in finite populations with randomized nomination sampling

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  • Nourmohammadi, Mohammad
  • Jafari Jozani, Mohammad
  • Johnson, Brad C.

Abstract

Given a finite population consisting of N elements, it is desired to obtain confidence intervals for (t/N)th quantile x(t) of the population based on the randomized nomination sampling (RNS) design. Three without replacement sampling protocols are described and procedures for constructing nonparametric confidence intervals for population quantiles are developed. Formulas for computing coverage probabilities for these confidence intervals are presented. Simulation studies are conducted and the performance of the RNS based confidence intervals is compared with those based on the simple random sample without replacement design.

Suggested Citation

  • Nourmohammadi, Mohammad & Jafari Jozani, Mohammad & Johnson, Brad C., 2014. "Confidence intervals for quantiles in finite populations with randomized nomination sampling," Computational Statistics & Data Analysis, Elsevier, vol. 73(C), pages 112-128.
    • Handle: RePEc:eee:csdana:v:73:y:2014:i:c:p:112-128
    DOI: 10.1016/j.csda.2013.11.020
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    References listed on IDEAS

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    1. Hettmansperger, Thomas P. & Sheather, Simon J., 1986. "Confidence intervals based on interpolated order statistics," Statistics & Probability Letters, Elsevier, vol. 4(2), pages 75-79, March.
    2. Nader Gemayel & Elizabeth Stasny & Douglas Wolfe, 2010. "Optimal ranked set sampling estimation based on medians from multiple set sizes," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 22(4), pages 517-527.
    3. Nyblom, Jukka, 1992. "Note on interpolated order statistics," Statistics & Probability Letters, Elsevier, vol. 14(2), pages 129-131, May.
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    Cited by:

    1. Mohammad Nourmohammadi & Mohammad Jafari Jozani & Brad C. Johnson, 2020. "Parametric Inference Using Nomination Sampling with an Application to Mercury Contamination in Fish," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 82(1), pages 115-146, February.

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