IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v116y2013icp52-62.html
   My bibliography  Save this article

On general bootstrap of empirical estimator of a semi-Markov kernel with applications

Author

Listed:
  • Bouzebda, Salim
  • Limnios, Nikolaos

Abstract

The aim of this paper is to introduce a general bootstrap by exchangeable weight random variables for empirical estimators of the semi-Markov kernels and of the conditional transition probabilities for semi-Markov processes with countable state space. Asymptotic properties of these generalized bootstrapped empirical distributions are obtained by a martingale approach. We show how to apply our results to the construction of confidence intervals and change point problem where the limiting distribution of the proposed statistic is derived under the null hypothesis.

Suggested Citation

  • Bouzebda, Salim & Limnios, Nikolaos, 2013. "On general bootstrap of empirical estimator of a semi-Markov kernel with applications," Journal of Multivariate Analysis, Elsevier, vol. 116(C), pages 52-62.
    • Handle: RePEc:eee:jmvana:v:116:y:2013:i:c:p:52-62
    DOI: 10.1016/j.jmva.2012.11.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047259X12002679
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmva.2012.11.008?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. 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. Pierre Combris & Patrice Bertail & Christine Boizot-Szantai & Jean-Claude Poupa, 1995. "La consommation alimentaire en 1991 : distribution des quantités consommées à domicile," Post-Print hal-01931697, HAL.
    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.
    4. Csörgő Miklós & Horváth Lajos & Szyszkowicz Barbara, 1997. "Integral Tests For Suprema Of Kiefer Processes With Application," Statistics & Risk Modeling, De Gruyter, vol. 15(4), pages 365-378, April.
    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. Salim Bouzebda & Issam Elhattab & Anouar Abdeldjaoued Ferfache, 2022. "General M-Estimator Processes and their m out of n Bootstrap with Functional Nuisance Parameters," Methodology and Computing in Applied Probability, Springer, vol. 24(4), pages 2961-3005, December.
    2. Salim Bouzebda & Chrysanthi Papamichail & Nikolaos Limnios, 2018. "On a multidimensional general bootstrap for empirical estimator of continuous-time semi-Markov kernels with applications," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 30(1), pages 49-86, January.
    3. Nour-Eddine Berrahou & Salim Bouzebda & Lahcen Douge, 2024. "The Bahadur Representation for Empirical and Smooth Quantile Estimators Under Association," Methodology and Computing in Applied Probability, Springer, vol. 26(2), pages 1-37, June.

    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. Dietzenbacher, Bas, 2018. "Bankruptcy games with nontransferable utility," Mathematical Social Sciences, Elsevier, vol. 92(C), pages 16-21.
    4. 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.
    5. 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.
    6. 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.
    7. 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).
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. Fermanian, Jean-David, 1997. "Multivariate Hazard Rates under Random Censorship," Journal of Multivariate Analysis, Elsevier, vol. 62(2), pages 273-309, August.
    18. 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.
    19. 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.
    20. 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.

    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:116:y:2013:i:c:p:52-62. 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.