Ordering properties of order statistics from random variables of Archimedean copulas with applications

@article{Li2015OrderingPO,
  title={Ordering properties of order statistics from random variables of Archimedean copulas with applications},
  author={Xiaohu Li and Rui Fang},
  journal={J. Multivariate Analysis},
  year={2015},
  volume={133},
  pages={304-320}
}
Ordering properties on order statistics from heterogeneous observations have been paid lots of attention. This article devotes to investigating the ordering properties on order statistics from statistically dependent observations. We build the likelihood ratio order and the (reversed) hazard rate order of the extremal values and their adjacent order statistics. Also, some applications of our comparison results in TTE model and its dual version, auction theory and k-out-of-n reliability systems… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 33 references

Order Statistics

  • H. A. David, H. N. Nagaraja
  • Wiley & Sons, New Jersey
  • 2003
Highly Influential
6 Excerpts

Survival and Event History Analysis: A Process Point of View

  • O. Aalen, O. Borgan, H. Gjessing
  • Springer, New York
  • 2008
Highly Influential
10 Excerpts

Comparisons of order statistics and of spacings from heterogeneous distributions

  • P. Pledger, F. Proschan
  • Optimizing methods in statistics, J. S. Rustagi…
  • 1971
Highly Influential
3 Excerpts

An Introduction to Copula

  • B. R. Nelsen
  • Springer, New York
  • 2006
Highly Influential
3 Excerpts

Weibull distribution: some stochastic comparisons results

  • B. Khaledi, S. C. Kochar
  • Journal of Statistical Planning and Inference 136
  • 2006
Highly Influential
3 Excerpts

Dispersive ordering among linear combinations of uniform random variables

  • B. Khaledi, S. C. Kochar
  • Journal of Statistical Planning and Inference 100
  • 2002
Highly Influential
2 Excerpts

Some new results on stochastic comparisons of parallel systems

  • B. Khaledi, S. C. Kochar
  • Journal of Applied Probability 37
  • 2000
Highly Influential
2 Excerpts

Some ordering results on order statistics and record values

  • M. Z. Raqab, W. A. Amin
  • IAPQR Transactions 21
  • 1996
Highly Influential
3 Excerpts

Applications of the hazard rate ordering in reliability and order statistics

  • P. J. Boland, E. El-Neweihi, F. Proschan
  • Journal of Applied Probability 31
  • 1994
Highly Influential
3 Excerpts

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