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Nonparametric meta-analysis of independent samples of records

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  • Amini, Morteza
  • Balakrishnan, N.

Abstract

Consider k≥1 independent samples, each with a certain number of record values. The resulting pooled sample of records can be re-ordered to develop exact nonparametric inferential procedures. The distribution theory of such ordered multi-sample record values is developed in this paper. The ordered record sample is then used to present exact distribution-free confidence intervals for quantiles of the population, and also to develop exact prediction intervals for future record values. A real data set is finally used to illustrate the results developed here.

Suggested Citation

  • Amini, Morteza & Balakrishnan, N., 2013. "Nonparametric meta-analysis of independent samples of records," Computational Statistics & Data Analysis, Elsevier, vol. 66(C), pages 70-81.
    • Handle: RePEc:eee:csdana:v:66:y:2013:i:c:p:70-81
    DOI: 10.1016/j.csda.2013.03.019
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    References listed on IDEAS

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    1. Erhard Cramer & Udo Kamps, 2003. "Marginal distributions of sequential and generalized order statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 58(3), pages 293-310, December.
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    4. Ahmadi, J. & Balakrishnan, N., 2004. "Confidence intervals for quantiles in terms of record range," Statistics & Probability Letters, Elsevier, vol. 68(4), pages 395-405, July.
    5. Richard Barlow & Larry Hunter, 1960. "Optimum Preventive Maintenance Policies," Operations Research, INFORMS, vol. 8(1), pages 90-100, February.
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    7. Ahmadi, J. & Balakrishnan, N., 2005. "Distribution-free confidence intervals for quantile intervals based on current records," Statistics & Probability Letters, Elsevier, vol. 75(3), pages 190-202, December.
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    Cited by:

    1. Morteza Amini & Narayanaswamy Balakrishnan, 2015. "Pooled parametric inference for minimal repair systems," Computational Statistics, Springer, vol. 30(2), pages 605-623, June.

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