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The Hazard Rate and the Reversed Hazard Rate Orders, with Applications to Order Statistics

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  • Asok Nanda
  • Moshe Shaked

Abstract

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Suggested Citation

  • Asok Nanda & Moshe Shaked, 2001. "The Hazard Rate and the Reversed Hazard Rate Orders, with Applications to Order Statistics," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(4), pages 853-864, December.
    • Handle: RePEc:spr:aistmt:v:53:y:2001:i:4:p:853-864
    DOI: 10.1023/A:1014677608075
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    Cited by:

    1. Auriol, Emmanuelle & Straub, Stéphane & Flochel, Thomas, 2016. "Public Procurement and Rent-Seeking: The Case of Paraguay," World Development, Elsevier, vol. 77(C), pages 395-407.
    2. Cai, Jun & Willmot, Gordon E., 2005. "Monotonicity and aging properties of random sums," Statistics & Probability Letters, Elsevier, vol. 73(4), pages 381-392, July.
    3. Khan, Ruhul Ali, 2023. "Two-sample nonparametric test for proportional reversed hazards," Computational Statistics & Data Analysis, Elsevier, vol. 182(C).
    4. E. Salehi & M. Asadi, 2012. "Results on the past lifetime of (n − k + 1)-out-of-n structures with nonidentical components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(4), pages 439-454, May.
    5. Szymkowiak, Magdalena, 2018. "Generalized aging intensity functions," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 198-208.
    6. Taizhong Hu & Asok K. Nanda & Huiliang Xie & Zegang Zhu, 2004. "Properties of some stochastic orders: A unified study," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(2), pages 193-216, March.
    7. Xiaohu Li & Gaofeng Da & Peng Zhao, 2012. "Competing Between Two Groups of Individuals Following Frailty Models," Methodology and Computing in Applied Probability, Springer, vol. 14(4), pages 1033-1051, December.
    8. Marco Burkschat & Erhard Cramer & Udo Kamps, 2003. "Dual generalized order statistics," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 13-26.
    9. Hu, Taizhong & Wei, Ying, 2001. "Stochastic comparisons of spacings from restricted families of distributions," Statistics & Probability Letters, Elsevier, vol. 53(1), pages 91-99, May.
    10. Burkschat, Marco & Torrado, Nuria, 2014. "On the reversed hazard rate of sequential order statistics," Statistics & Probability Letters, Elsevier, vol. 85(C), pages 106-113.
    11. Nil Kamal Hazra & Asok K. Nanda & Moshe Shaked, 2014. "Some aging properties of parallel and series systems with a random number of components," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(3), pages 238-243, April.
    12. Serkan Eryilmaz & G. Tutuncu, 2015. "Relative behavior of a coherent system with respect to another coherent system," Statistical Papers, Springer, vol. 56(2), pages 519-529, May.
    13. Asha, G. & Rejeesh, C. John, 2009. "Characterizations using the generalized reversed lack of memory property," Statistics & Probability Letters, Elsevier, vol. 79(12), pages 1480-1487, June.

    More about this item

    Keywords

    Stochastic orders; k-out-of-n systems;

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