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Conditional ordering of order statistics

Author

Listed:
  • Zhuang, Weiwei
  • Yao, Junchao
  • Hu, Taizhong

Abstract

For any positive integers m and n, let X1,X2,...,Xm[logical or]n be independent random variables with possibly nonidentical distributions. Let X1:n y for j-i>=max{n-m,0}, and (X1:n,X2:n,...,Xj:n) given Xi:m

Suggested Citation

  • Zhuang, Weiwei & Yao, Junchao & Hu, Taizhong, 2010. "Conditional ordering of order statistics," Journal of Multivariate Analysis, Elsevier, vol. 101(3), pages 640-644, March.
    • Handle: RePEc:eee:jmvana:v:101:y:2010:i:3:p:640-644
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    References listed on IDEAS

    as
    1. Boland, Philip J. & Hollander, Myles & Joag-Dev, Kumar & Kochar, Subhash, 1996. "Bivariate Dependence Properties of Order Statistics," Journal of Multivariate Analysis, Elsevier, vol. 56(1), pages 75-89, January.
    2. Hu, Taizhong & Xie, Chaode, 2006. "Negative dependence in the balls and bins experiment with applications to order statistics," Journal of Multivariate Analysis, Elsevier, vol. 97(6), pages 1342-1354, July.
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    Cited by:

    1. Franco Pellerey & Jorge Navarro, 2022. "Stochastic monotonicity of dependent variables given their sum," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(2), pages 543-561, June.
    2. Saumard, Adrien & Wellner, Jon A., 2018. "Efron’s monotonicity property for measures on R2," Journal of Multivariate Analysis, Elsevier, vol. 166(C), pages 212-224.

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