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Multivariate likelihood ratio ordering of conditional order statistics

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Abstract

Multivariate likelihood ratio order of order statistics conditioned on both the right tail and the left tail are built. These results strengthen and generalize those conclusions in terms of the univariate likelihood ratio order by Khaledi and Shaked (2007), Li and Zhao (2006), Hu, et al. (2006), and Hu, Jin, and Khaledi (2007).

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References

  1. I. Bairamov, M. Ahsanullah, and I. Akhundov, A residual life funtion of a system having parallel or series structures, Journal of Statistical Theory and Applications, 2002, 1: 119–131.

    MathSciNet  Google Scholar 

  2. M. Asadi and I. Bairamov, A note on the mean residual life function of a parallel system, Communications in Statistics — Theory and Methods, 2005, 34: 475–484.

    Article  MATH  MathSciNet  Google Scholar 

  3. M. Asadi, On the mean past lifetime of the components of a parallel system, Journal of Statistical Planning and Inference, 2006, 136: 1197–1206.

    Article  MATH  MathSciNet  Google Scholar 

  4. X. Li and P. Zhao, Some aging properties of the residual life of k-out-of-n systems, IEEE Transactions on Reliability, 2006, 55: 535–541.

    Article  Google Scholar 

  5. T. Hu, X. Li, M. Xu, and W. Zhuang, Some new results on ordering conditional distributions of generalized order statistics, Technical Report, Department of Statistics and Finance, University of Science and Technology of China, Hefei, 2006.

    Google Scholar 

  6. T. Hu, W. Jin, and B. Khaledi, Ordering conditional distributions of generalized order statistics, Probability in the Engineering and Informational Science, 2007, 21: 401–417.

    Article  MATH  MathSciNet  Google Scholar 

  7. B. Khaledi and M. Shaked, Ordering conditional residual lifetimes of coherent systems, Journal of Statistical Planning and Inference, 2007, 137: 1173–1184.

    Article  MATH  MathSciNet  Google Scholar 

  8. B. Khaledi and R. Shojaei, On stochastic orderings between residual record values, Statistics and Probability Letters, 2007, 77: 1467–1472.

    Article  MATH  MathSciNet  Google Scholar 

  9. M. Shaked and J. G. Shanthikumar, Stochastic Orders, Springer, New York, 2007.

    Book  MATH  Google Scholar 

  10. S. Karlin and Y. Rinott, Classes of orderings of measures and related correlation inequalities, I. Multivariate totally positive distributions, Journal of Multivariate Analysis, 1980, 10: 467–498.

    Article  MATH  MathSciNet  Google Scholar 

  11. S. Karlin, Total Positivity, Stanford University Press, California, 1968.

    MATH  Google Scholar 

Download references

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Correspondence to Yashi Wang.

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This research is supported by the National Natural Science Foundations of China under Grant No. 10771090.

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Wang, Y., Zhao, P. Multivariate likelihood ratio ordering of conditional order statistics. J Syst Sci Complex 23, 1143–1152 (2010). https://doi.org/10.1007/s11424-010-7269-8

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  • DOI: https://doi.org/10.1007/s11424-010-7269-8

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