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Sufficient conditions for negative association of random variables

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  • Hu, Taizhong
  • Hu, Jinjin

Abstract

Let X=(X1,X2,...,Xn) be a random vector of n independent random variables and be an increasing function. This paper investigates the other forms of [psi] and such that the conditional distribution of X, given [psi](X)[set membership, variant][Delta], is NA under some mild conditions. An interpretation of the main results in reliability is presented.

Suggested Citation

  • Hu, Taizhong & Hu, Jinjin, 1999. "Sufficient conditions for negative association of random variables," Statistics & Probability Letters, Elsevier, vol. 45(2), pages 167-173, November.
    • Handle: RePEc:eee:stapro:v:45:y:1999:i:2:p:167-173
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    References listed on IDEAS

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    1. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities II. Multivariate reverse rule distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 499-516, December.
    2. Henry W. Block & Vanderlei Bueno & Thomas H. Savits & Moshe Shaked, 1987. "Probability inequalities via negative dependence for random variables conditioned on order statistics," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(4), pages 547-554, August.
    3. Matula, Przemyslaw, 1992. "A note on the almost sure convergence of sums of negatively dependent random variables," Statistics & Probability Letters, Elsevier, vol. 15(3), pages 209-213, October.
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    Cited by:

    1. 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.
    2. Hu, Taizhong & Yang, Jianping, 2004. "Further developments on sufficient conditions for negative dependence of random variables," Statistics & Probability Letters, Elsevier, vol. 66(3), pages 369-381, February.
    3. 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.

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