IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v101y2010i6p1501-1519.html
   My bibliography  Save this article

Estimation of a distribution under generalized censoring

Author

Listed:
  • Carabarin-Aguirre, Alberto
  • Ivanoff, B. Gail

Abstract

This paper focuses on the problem of the estimation of a distribution on an arbitrary complete separable metric space when the data points are subject to censoring by a general class of random sets. If the censoring mechanism is either totally observable or totally ordered, a reverse probability estimator may be defined in this very general framework. Functional central limit theorems are proven for the estimator when the underlying space is Euclidean. Applications are discussed, and the validity of bootstrap methods is established in each case.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:jmvana:v:101:y:2010:i:6:p:1501-1519
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047-259X(09)00247-4
    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. Ivanoff, B.G.B. Gail & Merzbach, Ely, 2004. "Random clouds and an application to censoring in survival analysis," Stochastic Processes and their Applications, Elsevier, vol. 111(2), pages 259-279, June.
    2. (ed.), 1992. "Index," Books, Edward Elgar Publishing, number 1241.
    3. 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.
    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. Beare, Brendan K. & Seo, Juwon, 2020. "Randomization Tests Of Copula Symmetry," Econometric Theory, Cambridge University Press, vol. 36(6), pages 1025-1063, December.
    2. Monica Billio & Lorenzo Frattarolo & Dominique Guegan, 2017. "Multivariate Reflection Symmetry of Copula Functions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01592147, HAL.
    3. Christian Genest & Johanna Nešlehová & Jean-François Quessy, 2012. "Tests of symmetry for bivariate copulas," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(4), pages 811-834, August.
    4. Billio Monica & Frattarolo Lorenzo & Guégan Dominique, 2021. "Multivariate radial symmetry of copula functions: finite sample comparison in the i.i.d case," Dependence Modeling, De Gruyter, vol. 9(1), pages 43-61, January.

    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. 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.
    2. 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.
    3. Gustavo Bergantiños & Balbina Casas- Méndez & Gloria Fiestras- Janeiro & Juan Vidal-Puga, 2005. "A Focal-Point Solution for Bargaining Problems with Coalition Structure," Game Theory and Information 0511006, University Library of Munich, Germany.
    4. Dietzenbacher, Bas, 2018. "Bankruptcy games with nontransferable utility," Mathematical Social Sciences, Elsevier, vol. 92(C), pages 16-21.
    5. Strijbosch, L.W.G. & Heuts, R.M.J., 1994. "Investigating several alternatives for estimating the lead time demand distribution in a continuous review inventory model," Other publications TiSEM dc1f886c-0122-4da9-9598-8, Tilburg University, School of Economics and Management.
    6. Paul D. Gottlieb, 2011. "Supply or Demand, Make or Buy," Economic Development Quarterly, , vol. 25(4), pages 303-315, November.
    7. Jose A. García-Martínez & Ana Meca & G. Alexander Vergara, 2022. "Cooperative Purchasing with General Discount: A Game Theoretical Approach," Mathematics, MDPI, vol. 10(22), pages 1-20, November.
    8. 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.
    9. 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.
    10. Wakker, Peter P. & Zank, Horst, 2002. "A simple preference foundation of cumulative prospect theory with power utility," European Economic Review, Elsevier, vol. 46(7), pages 1253-1271, July.
    11. Johnson, Shane A. & Tian, Yisong S., 2000. "The value and incentive effects of nontraditional executive stock option plans," Journal of Financial Economics, Elsevier, vol. 57(1), pages 3-34, July.
    12. Fershtman, C. & de Zeeuw, A.J., 1993. "Capital accumulation and entry deterrence : A clarifying note," Other publications TiSEM 8c7c65ba-40e5-42a4-96af-0, Tilburg University, School of Economics and Management.
    13. Gerber, Hans U. & Shiu, Elias S.W. & Yang, Hailiang, 2015. "Geometric stopping of a random walk and its applications to valuing equity-linked death benefits," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 313-325.
    14. 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.
    15. Stephen Brown & William Goetzmann & Takato Hiraki & Noriyoshi Shiraishi & Masahiro Watanabe, 2002. "Investor Sentiment in Japanese and U.S. Daily Mutual Fund Flows," Yale School of Management Working Papers ysm274, Yale School of Management, revised 01 Apr 2008.
    16. 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.
    17. 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).
    18. Adam Geršl & Tomáš Holub, 2006. "Foreign Exchange Interventions Under Inflation Targeting: The Czech Experience," Contemporary Economic Policy, Western Economic Association International, vol. 24(4), pages 475-491, October.
    19. 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.
    20. Karimi, M. & Rey, G. & Latouche, A., 2018. "A Joint modelling of socio-professional trajectories and cause-specific mortality," Computational Statistics & Data Analysis, Elsevier, vol. 119(C), pages 39-54.

    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:101:y:2010:i:6:p:1501-1519. 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.