IDEAS home Printed from https://ideas.repec.org/a/eee/insuma/v19y1997i3p187-235.html
   My bibliography  Save this article

Markov models and Thiele's integral equations for the prospective reserve

Author

Listed:
  • Milbrodt, Hartmut
  • Stracke, Andrea

Abstract

No abstract is available for this item.

Suggested Citation

  • Milbrodt, Hartmut & Stracke, Andrea, 1997. "Markov models and Thiele's integral equations for the prospective reserve," Insurance: Mathematics and Economics, Elsevier, vol. 19(3), pages 187-235, May.
    • Handle: RePEc:eee:insuma:v:19:y:1997:i:3:p:187-235
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-6687(97)00020-6
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. R.D. Gill, 1980. "Censoring and Stochastic Integrals," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 34(2), pages 124-124, June.
    2. Norberg, Ragnar, 1995. "Differential equations for moments of present values in life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 17(2), pages 171-180, October.
    3. anonymous, 1997. "Atlanta Fed hosts personal financial literacy seminar," Financial Update, Federal Reserve Bank of Atlanta, vol. 10(Apr), pages 1-5.
    4. Oecd, 1997. "Budgeting and Monitoring of Personnel Costs," SIGMA Papers 11, OECD Publishing.
    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. Christian Furrer, 2022. "Scaled insurance cash flows: representation and computation via change of measure techniques," Finance and Stochastics, Springer, vol. 26(2), pages 359-382, April.
    2. Ahmad, Jamaal & Bladt, Mogens & Furrer, Christian, 2023. "Aggregate Markov models in life insurance: Properties and valuation," Insurance: Mathematics and Economics, Elsevier, vol. 113(C), pages 50-69.
    3. D'Amico, Guglielmo & Singh, Shakti & Selvamuthu, Dharmaraja, 2024. "Optimal investment-disinvestment choices in health-dependent variable annuity," Insurance: Mathematics and Economics, Elsevier, vol. 117(C), pages 1-15.
    4. Marcus C. Christiansen & Christian Furrer, 2024. "Canonical insurance models: stochastic equations and comparison theorems," Papers 2411.12522, arXiv.org.
    5. Marcus C. Christiansen & Michel M. Denuit & Jan Dhaene, 2014. "Reserve-Dependent Benefits and Costs in Life and Health Insurance Contracts," Tinbergen Institute Discussion Papers 14-117/IV/DSF80, Tinbergen Institute.
    6. Christiansen, Marcus C., 2008. "A sensitivity analysis concept for life insurance with respect to a valuation basis of infinite dimension," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 680-690, April.
    7. Marcus Christiansen, 2012. "Multistate models in health insurance," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 96(2), pages 155-186, June.
    8. Christiansen, Marcus C., 2010. "Biometric worst-case scenarios for multi-state life insurance policies," Insurance: Mathematics and Economics, Elsevier, vol. 47(2), pages 190-197, October.
    9. Milbrodt, Hartmut, 2000. "Hattendorff's theorem for non-smooth continuous-time Markov models II: Application," Insurance: Mathematics and Economics, Elsevier, vol. 26(1), pages 1-14, February.
    10. Christiansen, Marcus C., 2008. "A sensitivity analysis of typical life insurance contracts with respect to the technical basis," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 787-796, April.
    11. Christiansen, Marcus C. & Djehiche, Boualem, 2020. "Nonlinear reserving and multiple contract modifications in life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 187-195.
    12. Christiansen, Marcus C. & Furrer, Christian, 2021. "Dynamics of state-wise prospective reserves in the presence of non-monotone information," Insurance: Mathematics and Economics, Elsevier, vol. 97(C), pages 81-98.

    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. Milbrodt, Hartmut, 1999. "Hattendorff's theorem for non-smooth continuous-time Markov models I: Theory," Insurance: Mathematics and Economics, Elsevier, vol. 25(2), pages 181-195, November.
    2. Lu, Xuewen & Burke, M.D., 2005. "Censored multiple regression by the method of average derivatives," Journal of Multivariate Analysis, Elsevier, vol. 95(1), pages 182-205, July.
    3. Janurová, Kateřina & Briš, Radim, 2014. "A nonparametric approach to medical survival data: Uncertainty in the context of risk in mortality analysis," Reliability Engineering and System Safety, Elsevier, vol. 125(C), pages 145-152.
    4. John T. O'Gorman & Michael G. Akritas, 2001. "Nonparametric Models and Methods for Designs with Dependent Censored Data: Part I," Biometrics, The International Biometric Society, vol. 57(1), pages 88-95, March.
    5. Erica Brittain & Dean Follmann & Song Yang, 2008. "Dynamic Comparison of Kaplan–Meier Proportions: Monitoring a Randomized Clinical Trial with a Long-Term Binary Endpoint," Biometrics, The International Biometric Society, vol. 64(1), pages 189-197, March.
    6. Xiaofeng Lv & Gupeng Zhang & Guangyu Ren, 2017. "Gini index estimation for lifetime data," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 23(2), pages 275-304, April.
    7. Koca, Ilknur, 2018. "Efficient numerical approach for solving fractional partial differential equations with non-singular kernel derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 278-286.
    8. Martin Wells & Ram Tiwari, 1994. "Bootstrapping a Bayes estimator of a survival function with censored data," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 46(3), pages 487-495, September.
    9. Chen, Xiaohong & Fan, Yanqin & Pouzo, Demian & Ying, Zhiliang, 2010. "Estimation and model selection of semiparametric multivariate survival functions under general censorship," Journal of Econometrics, Elsevier, vol. 157(1), pages 129-142, July.
    10. Phadia, Eswar G. & Shao, Peter Yi-Shi, 1999. "Exact moments of the product limit estimator," Statistics & Probability Letters, Elsevier, vol. 41(3), pages 277-286, February.
    11. Daniel Scharfstein & James M. Robins & Wesley Eddings & Andrea Rotnitzky, 2001. "Inference in Randomized Studies with Informative Censoring and Discrete Time-to-Event Endpoints," Biometrics, The International Biometric Society, vol. 57(2), pages 404-413, June.
    12. Yi Wu & Wei Yu & Xuejun Wang, 2022. "Strong representations of the Kaplan–Meier estimator and hazard estimator with censored widely orthant dependent data," Computational Statistics, Springer, vol. 37(1), pages 383-402, March.
    13. Hua Liang & Yong Zhou, 2008. "Semiparametric Inference for ROC Curves with Censoring," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 35(2), pages 212-227, June.
    14. Han-Ying Liang & Jacobo Uña-Álvarez, 2011. "Asymptotic properties of conditional quantile estimator for censored dependent observations," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 63(2), pages 267-289, April.
    15. Feng, Xinlong & He, Guoliang & Abdurishit,, 2008. "Estimation of parameters of the Makeham distribution using the least squares method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(1), pages 34-44.
    16. Ganesh B. Malla, 2022. "A Monte Carlo Simulation Comparison of Some Nonparametric Survival Functions for Incomplete Data," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 14(5), pages 1-1, November.
    17. Imbens, G.W., 1989. "Duration models with time-varying coefficients," Other publications TiSEM 8432944f-1cfc-4403-bcbe-4, Tilburg University, School of Economics and Management.
    18. Su, Pei-Fang & Li, Chung-I & Shyr, Yu, 2014. "Sample size determination for paired right-censored data based on the difference of Kaplan–Meier estimates," Computational Statistics & Data Analysis, Elsevier, vol. 74(C), pages 39-51.
    19. Thomas DeLeire & Shakeeb Khan & Christopher Timmins, 2013. "Roy Model Sorting And Nonrandom Selection In The Valuation Of A Statistical Life," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(1), pages 279-306, February.
    20. Lee, Seung-Hwan & Lee, Eun-Joo & Omolo, Bernard Oguna, 2008. "Using integrated weighted survival difference for the two-sample censored data problem," Computational Statistics & Data Analysis, Elsevier, vol. 52(9), pages 4410-4416, May.

    More about this item

    Statistics

    Access and download statistics

    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:insuma:v:19:y:1997:i:3:p:187-235. 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/locate/inca/505554 .

    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.