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Joint distribution of new sample rank of bivariate order statistics

Author

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  • Gulder Kemalbay
  • Ismihan Bayramoglu (Bairamov)

Abstract

Let , be independent copies of bivariate random vector with joint cumulative distribution function and probability density function . For , the vector of order statistics of and , respectively, is denoted by . Let , , be a new sample from , which is independent from . Let be the rank of order statistics in a new sample and be the rank of order statistics in a new sample . We derive the joint distribution of discrete random vector and a general scheme wherein the distributions of new and old samples are different is considered. Numerical examples for given well-known distribution are also provided.

Suggested Citation

  • Gulder Kemalbay & Ismihan Bayramoglu (Bairamov), 2015. "Joint distribution of new sample rank of bivariate order statistics," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(10), pages 2280-2289, October.
    • Handle: RePEc:taf:japsta:v:42:y:2015:i:10:p:2280-2289
    DOI: 10.1080/02664763.2015.1023705
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    References listed on IDEAS

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    1. Jacek Wesołowski & Mohammad Ahsanullah, 1998. "Distributional Properties of Exceedance Statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 50(3), pages 543-565, September.
    2. Bairamov, I. & Bayramoglu, K., 2013. "From the Huang–Kotz FGM distribution to Baker’s bivariate distribution," Journal of Multivariate Analysis, Elsevier, vol. 113(C), pages 106-115.
    3. H. Barakat, 1999. "On Moments of Bivariate Order Statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(2), pages 351-358, June.
    4. Huang, J.S. & Dou, Xiaoling & Kuriki, Satoshi & Lin, G.D., 2013. "Dependence structure of bivariate order statistics with applications to Bayramoglu’s distributions," Journal of Multivariate Analysis, Elsevier, vol. 114(C), pages 201-208.
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    Cited by:

    1. Erem, Aysegul & Bayramoglu, Ismihan, 2017. "Exact and asymptotic distributions of exceedance statistics for bivariate random sequences," Statistics & Probability Letters, Elsevier, vol. 125(C), pages 181-188.

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