IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v80y2002i1p166-188.html
   My bibliography  Save this article

Empirical Likelihood Ratio in Terms of Cumulative Hazard Function for Censored Data

Author

Listed:
  • Pan, Xiao-Rong
  • Zhou, Mai

Abstract

It has been shown that (with complete data) empirical likelihood ratios can be used to form confidence intervals and test hypotheses about a linear functional of the distribution function just like the parametric case. We study here the empirical likelihood ratios for right censored data and with parameters that are linear functionals of the cumulative hazard function. Martingale techniques make the asymptotic analysis easier, even for random weighting functions. It is shown that the empirical likelihood ratio in this setting can be easily obtained by solving a one parameter monotone equation.

Suggested Citation

  • Pan, Xiao-Rong & Zhou, Mai, 2002. "Empirical Likelihood Ratio in Terms of Cumulative Hazard Function for Censored Data," Journal of Multivariate Analysis, Elsevier, vol. 80(1), pages 166-188, January.
  • Handle: RePEc:eee:jmvana:v:80:y:2002:i:1:p:166-188
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047-259X(00)91977-8
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Borm, Peter & Keiding, H & McLean, R.P. & Oortwijn, S & Tijs, S, 1992. "The Compromise Value for NTU-Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(2), pages 175-189.
    2. Borm, Peter & Keiding, H & McLean, R.P. & Oortwijn, S & Tijs, S, 1992. "The Compromise Value for NTU-Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(2), pages 175-189.
    3. Li, Gang, 1995. "On nonparametric likelihood ratio estimation of survival probabilities for censored data," Statistics & Probability Letters, Elsevier, vol. 25(2), pages 95-104, November.
    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. Yang, Song & Zhao, Yichuan, 2007. "Testing treatment effect by combining weighted log-rank tests and using empirical likelihood," Statistics & Probability Letters, Elsevier, vol. 77(12), pages 1385-1393, July.
    2. Judith H. Parkinson, 2020. "Combined multiple testing of multivariate survival times by censored empirical likelihood," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 47(3), pages 757-786, September.
    3. Bin Dong & David E. Matthews, 2012. "Empirical Likelihood for Cumulative Hazard Ratio Estimation with Covariate Adjustment," Biometrics, The International Biometric Society, vol. 68(2), pages 408-418, June.
    4. Varron, Davit, 2016. "Empirical likelihood confidence tubes for functional parameters in plug-in estimation," Journal of Multivariate Analysis, Elsevier, vol. 152(C), pages 100-118.

    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. Li, Gang, 2003. "Nonparametric likelihood ratio goodness-of-fit tests for survival data," Journal of Multivariate Analysis, Elsevier, vol. 86(1), pages 166-182, July.
    2. Eijffinger, S.C.W. & Gruijters, A.P.D., 1989. "On the effectiveness of daily interventions by the Deutsche Bundesbank and the federal reserve system in the U.S. Dollar-Deutsche Mark exchange market," Other publications TiSEM cd65eff1-5f9e-4262-8f38-b, Tilburg University, School of Economics and Management.
    3. Arantza Estévez-Fernández & Peter Borm & M. Gloria Fiestras-Janeiro, 2020. "Nontransferable utility bankruptcy games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(1), pages 154-177, April.
    4. Dietzenbacher, Bas, 2018. "Bankruptcy games with nontransferable utility," Mathematical Social Sciences, Elsevier, vol. 92(C), pages 16-21.
    5. Judith Timmer, 2006. "The Compromise Value for Cooperative Games with Random Payoffs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(1), pages 95-106, August.
    6. Schotanus, Fredo & Telgen, Jan & de Boer, Luitzen, 2008. "Unfair allocation of gains under the Equal Price allocation method in purchasing groups," European Journal of Operational Research, Elsevier, vol. 187(1), pages 162-176, May.
    7. E. Calvo & S. Tijs & F. Valenciano & J. Zarzuelo, 1995. "On the axiomatization of the τ-value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 3(1), pages 35-46, June.
    8. LAMAS, ALEJANDRO & CHEVALIER, Philippe, 2013. "Jumping the hurdles for collaboration: fairness in operations pooling in the absence of transfer payments," LIDAM Discussion Papers CORE 2013073, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Falk, Michael & Marohn, Frank, 2000. "On the Loss of Information Due to Nonrandom Truncation," Journal of Multivariate Analysis, Elsevier, vol. 72(1), pages 1-21, January.
    10. Gustavo Bergantiños & Jordi Massó, 2002. "The Chi-compromise value for non-transferable utility games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 56(2), pages 269-286, November.
    11. Hendrickx, R.L.P. & Borm, P.E.M. & Timmer, J.B., 2000. "On Convexity for NTU-Games," Discussion Paper 2000-108, Tilburg University, Center for Economic Research.
    12. Almekinders, Geert J & Eijffinger, Sylvester C W, 1994. "Daily Bundesbank and Federal Reserve Interventions: Are They a Reaction to Changes in the Level and Volatility of the DM/$-Rate?," Empirical Economics, Springer, vol. 19(1), pages 111-130.
    13. Doyen, L., 2012. "Reliability analysis and joint assessment of Brown–Proschan preventive maintenance efficiency and intrinsic wear-out," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4433-4449.
    14. Timmer, J.B., 2000. "The Compromise Value for Cooperative Games with Random Payoffs," Other publications TiSEM 08aefe4e-00a8-4e58-9e54-3, Tilburg University, School of Economics and Management.
    15. Carabarin-Aguirre, Alberto & Ivanoff, B. Gail, 2010. "Estimation of a distribution under generalized censoring," Journal of Multivariate Analysis, Elsevier, vol. 101(6), pages 1501-1519, July.
    16. Carmen Herrero & Antonio Villar, 2010. "The rights egalitarian solution for NTU sharing problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 137-150, March.
    17. Härdle, W.K. & Tsybakov, A.B., 1994. "How sensitive are average derivatives?," Other publications TiSEM 07ea66d2-29d5-4ec9-a59d-8, Tilburg University, School of Economics and Management.
    18. Fermanian, Jean-David, 1997. "Multivariate Hazard Rates under Random Censorship," Journal of Multivariate Analysis, Elsevier, vol. 62(2), pages 273-309, August.
    19. Ruud Hendrickx & Judith Timmer & Peter Borm, 2002. "A note on NTU convexity," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(1), pages 29-37.
    20. Bergantinos, G. & Casas-Mendez, B. & Fiestras-Janeiro, M.G. & Vidal-Puga, J.J., 2007. "A solution for bargaining problems with coalition structure," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 35-58, July.

    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:80:y:2002:i:1:p:166-188. 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.