IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v133y2015icp304-320.html
   My bibliography  Save this article

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

Author

Listed:
  • Li, Xiaohu
  • Fang, Rui

Abstract

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 are presented.

Suggested Citation

  • Li, Xiaohu & Fang, Rui, 2015. "Ordering properties of order statistics from random variables of Archimedean copulas with applications," Journal of Multivariate Analysis, Elsevier, vol. 133(C), pages 304-320.
    • Handle: RePEc:eee:jmvana:v:133:y:2015:i:c:p:304-320
    DOI: 10.1016/j.jmva.2014.09.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047259X14002231
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmva.2014.09.016?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mark Y. An & Bent Jesper Christensen & Nabanita Datta Gupta, 2004. "Multivariate mixed proportional hazard modelling of the joint retirement of married couples," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(6), pages 687-704.
    2. Paul Klemperer, 2004. "Auctions: Theory and Practice," Online economics textbooks, SUNY-Oswego, Department of Economics, number auction1.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Longxiang Fang & Narayanaswamy Balakrishnan & Wenyu Huang & Shuai Zhang, 2023. "Usual stochastic ordering of the sample maxima from dependent distribution‐free random variables," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 77(1), pages 99-112, February.
    2. Barmalzan, Ghobad & Akrami, Abbas & Balakrishnan, Narayanaswamy, 2020. "Stochastic comparisons of the smallest and largest claim amounts with location-scale claim severities," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 341-352.
    3. Mesfioui Mhamed & Trufin Julien, 2021. "Dispersive order comparisons on extreme order statistics from homogeneous dependent random vectors," Dependence Modeling, De Gruyter, vol. 9(1), pages 385-393, January.
    4. Sangita Das & Suchandan Kayal, 2020. "Ordering extremes of exponentiated location-scale models with dependent and heterogeneous random samples," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(8), pages 869-893, November.
    5. Chen Li & Rui Fang & Xiaohu Li, 2016. "Stochastic somparisons of order statistics from scaled and interdependent random variables," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 79(5), pages 553-578, July.
    6. Longxiang Fang & Wenyu Huang, 2020. "Inequalities for Gaussian random variables under Archimedean copula dependence," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(5), pages 617-625, July.
    7. Li, Chen & Li, Xiaohu, 2019. "Hazard rate and reversed hazard rate orders on extremes of heterogeneous and dependent random variables," Statistics & Probability Letters, Elsevier, vol. 146(C), pages 104-111.
    8. Junrui Wang & Rongfang Yan & Bin Lu, 2020. "Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components," Mathematics, MDPI, vol. 8(4), pages 1-18, March.
    9. M. Mesfioui & M. Kayid & S. Izadkhah, 2017. "Stochastic comparisons of order statistics from heterogeneous random variables with Archimedean copula," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(6), pages 749-766, November.
    10. Enrique de Amo & María del Rosario Rodríguez-Griñolo & Manuel Úbeda-Flores, 2024. "Directional Dependence Orders of Random Vectors," Mathematics, MDPI, vol. 12(3), pages 1-14, January.
    11. Ariyafar, Saeed & Tata, Mahbanoo & Rezapour, Mohsen & Madadi, Mohsen, 2020. "Comparison of aggregation, minimum and maximum of two risky portfolios with dependent claims," Journal of Multivariate Analysis, Elsevier, vol. 178(C).
    12. Li, Chen & Li, Xiaohu, 2021. "On stochastic dependence in residual lifetime and inactivity time with some applications," Statistics & Probability Letters, Elsevier, vol. 177(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chatterjee, Rittwik & Chattopadhyay, Srobonti, 2015. "Competition and Auctioning Licenses," MPRA Paper 67086, University Library of Munich, Germany.
    2. Scott Duke Kominers & Alexander Teytelboym & Vincent P Crawford, 2017. "An invitation to market design," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 33(4), pages 541-571.
    3. Drabik Ewa, 2013. "Several Remarks on Banach–Mazur Games and its Applications Ewa Drabik," Foundations of Management, Sciendo, vol. 5(1), pages 21-25, June.
    4. B Kelsey Jack, 2009. "Auctioning Conservation Contracts in Indonesia - Participant Learning in Multiple Trial Rounds," CID Working Papers 35, Center for International Development at Harvard University.
    5. Alessandra Casella & Adam B. Cox, 2018. "A Property Rights Approach to Temporary Work Visas," The Journal of Legal Studies, University of Chicago Press, vol. 47(S1), pages 195-227.
    6. Soumyakanti Chakraborty & Anup K. Sen & Amitava Bagchi, 2015. "Addressing the valuation problem in multi-round combinatorial auctions," Information Systems Frontiers, Springer, vol. 17(5), pages 1145-1160, October.
    7. Popkowski Leszczyc, Peter T.L. & Qiu, Chun & He, Yongfu, 2009. "Empirical Testing of the Reference-Price Effect of Buy-Now Prices in Internet Auctions," Journal of Retailing, Elsevier, vol. 85(2), pages 211-221.
    8. Yu Zhou & Shigehiro Serizawa, 2019. "Minimum price equilibrium in the assignment market," ISER Discussion Paper 1047, Institute of Social and Economic Research, Osaka University.
    9. Comerford, Emma & Binney, Jim, 2006. "Lessons learned from the Queensland Vegetation Incentives Program - applying auction theory to vegetation protection," 2006 Conference (50th), February 8-10, 2006, Sydney, Australia 174101, Australian Agricultural and Resource Economics Society.
    10. Philip Brookins & Dmitry Ryvkin, 2014. "An experimental study of bidding in contests of incomplete information," Experimental Economics, Springer;Economic Science Association, vol. 17(2), pages 245-261, June.
    11. van der Laan, G. & Talman, Dolf & Yang, Z., 2018. "Equilibrium in the Assignment Market under Budget Constraints," Discussion Paper 2018-046, Tilburg University, Center for Economic Research.
    12. Jonathan Levin & Andrzej Skrzypacz, 2016. "Properties of the Combinatorial Clock Auction," American Economic Review, American Economic Association, vol. 106(9), pages 2528-2551, September.
    13. Brânzei, R. & Fragnelli, V. & Meca, A. & Tijs, S.H., 2006. "Two Classes of Cooperative Games Related to One-Object Auction Situations," Discussion Paper 2006-25, Tilburg University, Center for Economic Research.
    14. Wilson William W. & Dahl Bruce L., 2005. "Railcar Auctions for Grain Shipments: A Strategic Analysis," Journal of Agricultural & Food Industrial Organization, De Gruyter, vol. 3(2), pages 1-29, April.
    15. William A. Jackson, 2024. "Markets as dualistic, semi-decentralized organizations," Review of Evolutionary Political Economy, Springer, vol. 5(1), pages 153-172, June.
    16. Ganuza, Juan José & Viecens, María Fernanda, 2011. "Deployment of high-speed broadband infrastructures during the economic crisis. The case of Xarxa Oberta," Telecommunications Policy, Elsevier, vol. 35(9), pages 857-870.
    17. Sven-Olof Fridolfsson and Thomas P. Tangeras, 2015. "Nuclear Capacity Auctions," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3).
    18. Ralph-Christopher Bayer, 2016. "A Primer on Auction Design, Management, and Strategy , by David J. Salant ( MIT Press , Cambridge, London , 2014 ), pp. 184 ," The Economic Record, The Economic Society of Australia, vol. 92(298), pages 507-508, September.
    19. Eric Budish & Judd B. Kessler, 2022. "Can Market Participants Report Their Preferences Accurately (Enough)?," Management Science, INFORMS, vol. 68(2), pages 1107-1130, February.
    20. Peter Helgesson & Bernt Wennberg, 2015. "The N-Player War of Attrition in the Limit of Infinitely Many Players," Dynamic Games and Applications, Springer, vol. 5(1), pages 65-93, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jmvana:v:133:y:2015:i:c:p:304-320. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.