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The asymptotic normality of an intermediate order statistic of the ranges of sub-samples

  • Order Statistics
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Abstract

An intermediate order statistic based on the ranges of sub-samples is introduced and its limiting distribution derived under certain regularity conditions.

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References

  • Billingsley, P. (1968).Convergence of Probability Measures, Wiley, New York.

    Google Scholar 

  • David, H. A. (1981).Order Statistics, Wiley, New York.

    Google Scholar 

  • Reiss, R.-D. (1989).Approximate Distributions of Order Statistics with Applications to Nonparametric Statistics, Springer, New York.

    Google Scholar 

  • Serfling, R. J. (1980).Approximation Theorems of Mathematical Statistics, Wiley, New York.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Statistics and O.R., Potchefstroom University for CHE, 2520, Potchefstroom, South Africa

    J. W. H. Swanepoel

Authors
  1. J. W. H. Swanepoel
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Additional information

This research was supported by grants from the FRD of South Africa.

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Swanepoel, J.W.H. The asymptotic normality of an intermediate order statistic of the ranges of sub-samples. Ann Inst Stat Math 45, 233–242 (1993). https://doi.org/10.1007/BF00775810

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  • DOI: https://doi.org/10.1007/BF00775810

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