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Limit Theory of Bivariate Generalized Order Statistics with Random Sample Size

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Abstract

The class of limit distribution functions (df’s) of the random bivariate extreme, central and intermediate generalized order statistics (gos) from independent and identically distributed random variables (rv’s) is fully characterized. The cases, when the random sample size is independent of the basic variables and when the interrelation between the random sample size and the basic variables is not restricted, are considered.

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Authors and Affiliations

  1. Dept.Math., Faculty Sci., Zagazig University, Zagazig, Egypt

    H. M. Barakat

  2. School Math. and Statist., Central China Normal Univ., Wuhan, China

    M. A. Abd Elgawad, H. Qin & T. Yan

  3. Dept. Math. Faculty Sci., Benha Univ., Benha, Egypt

    M. A. Abd Elgawad

Authors
  1. H. M. Barakat
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  2. M. A. Abd Elgawad
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  3. H. Qin
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  4. T. Yan
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Correspondence to H. M. Barakat.

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Barakat, H.M., Abd Elgawad, M.A., Qin, H. et al. Limit Theory of Bivariate Generalized Order Statistics with Random Sample Size. Math. Meth. Stat. 27, 47–59 (2018). https://doi.org/10.3103/S1066530718010039

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  • DOI: https://doi.org/10.3103/S1066530718010039

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