Multistate models in health insurance
Author
Abstract
Suggested Citation
DOI: 10.1007/s10182-012-0189-2
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Janssen, J. & de Dominicis, R., 1984. "Finite non-homogeneous semi-Markov processes: Theoretical and computational aspects," Insurance: Mathematics and Economics, Elsevier, vol. 3(3), pages 157-165, July.
- 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.
- Renshaw, A. E. & Haberman, S., 2000. "Modelling the recent time trends in UK permanent health insurance recovery, mortality and claim inception transition intensities," Insurance: Mathematics and Economics, Elsevier, vol. 27(3), pages 365-396, December.
- Pitacco, Ermanno, 1995. "Actuarial models for pricing disability benefits: Towards a unifying approach," Insurance: Mathematics and Economics, Elsevier, vol. 16(1), pages 39-62, April.
- Andrew J. G. Cairns & David Blake & Kevin Dowd, 2006. "A Two‐Factor Model for Stochastic Mortality with Parameter Uncertainty: Theory and Calibration," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 73(4), pages 687-718, December.
- Bauer Daniel & Börger Matthias & Ruß Jochen & Zwiesler Hans-Joachim, 2008. "The Volatility of Mortality," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 3(1), pages 1-29, September.
- Gregorius, F. K., 1993. "Disability insurance in The Netherlands," Insurance: Mathematics and Economics, Elsevier, vol. 13(2), pages 101-116, November.
- Christiansen, Marcus C. & Denuit, Michel M. & Lazar, Dorina, 2012. "The Solvency II square-root formula for systematic biometric risk," Insurance: Mathematics and Economics, Elsevier, vol. 50(2), pages 257-265.
- Hyndman, Rob J. & Shahid Ullah, Md., 2007.
"Robust forecasting of mortality and fertility rates: A functional data approach,"
Computational Statistics & Data Analysis, Elsevier, vol. 51(10), pages 4942-4956, June.
- Rob J. Hyndman & Md. Shahid Ullah, 2005. "Robust forecasting of mortality and fertility rates: a functional data approach," Monash Econometrics and Business Statistics Working Papers 2/05, Monash University, Department of Econometrics and Business Statistics.
- Annamaria Olivieri & Ermanno Pitacco, 2012. "Life tables in actuarial models: from the deterministic setting to a Bayesian approach," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 96(2), pages 127-153, June.
- Christiansen, Marcus C. & Denuit, Michel & Lazar, Dorina, 2012. "The Solvency II square-root formula for systematic biometric risk," LIDAM Reprints ISBA 2012002, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
- 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.
- Milevsky, Moshe A. & David Promislow, S., 2001. "Mortality derivatives and the option to annuitise," Insurance: Mathematics and Economics, Elsevier, vol. 29(3), pages 299-318, December.
- Pitacco, Ermanno & Denuit, Michel & Haberman, Steven & Olivieri, Annamaria, 2009. "Modelling Longevity Dynamics for Pensions and Annuity Business," OUP Catalogue, Oxford University Press, number 9780199547272.
- Segerer, Gunther, 1993. "The actuarial treatment of the disability risk in Germany, Austria and Switzerland," Insurance: Mathematics and Economics, Elsevier, vol. 13(2), pages 131-140, November.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- 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.
- Fuino, Michel & Wagner, Joël, 2018. "Long-term care models and dependence probability tables by acuity level: New empirical evidence from Switzerland," Insurance: Mathematics and Economics, Elsevier, vol. 81(C), pages 51-70.
- 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.
- Marcus C. Christiansen & Boualem Djehiche, 2019. "Nonlinear reserving and multiple contract modifications in life insurance," Papers 1911.06159, arXiv.org, revised Mar 2020.
- Nadine Gatzert & Alexander Maegebier, 2015. "Critical Illness Insurances: Challenges and Opportunities for Insurers," Risk Management and Insurance Review, American Risk and Insurance Association, vol. 18(2), pages 255-272, September.
- Andrey Borisov & Alexey Bosov & Gregory Miller & Igor Sokolov, 2021. "Partial Diffusion Markov Model of Heterogeneous TCP Link: Optimization with Incomplete Information," Mathematics, MDPI, vol. 9(14), pages 1-31, July.
- Maegebier, Alexander, 2013. "Valuation and risk assessment of disability insurance using a discrete time trivariate Markov renewal reward process," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 802-811.
- Guibert, Quentin & Planchet, Frédéric, 2018. "Non-parametric inference of transition probabilities based on Aalen–Johansen integral estimators for acyclic multi-state models: application to LTC insurance," Insurance: Mathematics and Economics, Elsevier, vol. 82(C), pages 21-36.
- Kristian Buchardt & Christian Furrer & Oliver Lunding Sandqvist, 2022. "Transaction time models in multi-state life insurance," Papers 2209.06902, arXiv.org, revised Feb 2023.
- Andreas Niemeyer, 2015. "Safety Margins for Systematic Biometric and Financial Risk in a Semi-Markov Life Insurance Framework," Risks, MDPI, vol. 3(1), pages 1-26, January.
- Jang, Jiwook & Mohd Ramli, Siti Norafidah, 2015. "Jump diffusion transition intensities in life insurance and disability annuity," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 440-451.
- Benjiang Ma & Qing Tang & Yifang Qin & Muhammad Farhan Bashir, 2021. "Policyholder cluster divergence based differential premium in diabetes insurance," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(7), pages 1793-1807, October.
- Baione, Fabio & Levantesi, Susanna, 2014. "A health insurance pricing model based on prevalence rates: Application to critical illness insurance," Insurance: Mathematics and Economics, Elsevier, vol. 58(C), pages 174-184.
- Sokol, Alexander, 2015. "A generic model for spouse’s pensions with a view towards the calculation of liabilities," Insurance: Mathematics and Economics, Elsevier, vol. 65(C), pages 198-207.
- Manuel L. Esquível & Gracinda R. Guerreiro & Matilde C. Oliveira & Pedro Corte Real, 2021. "Calibration of Transition Intensities for a Multistate Model: Application to Long-Term Care," Risks, MDPI, vol. 9(2), pages 1-17, February.
- Qiqi Wang & Katja Hanewald & Xiaojun Wang, 2022. "Multistate health transition modeling using neural networks," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(2), pages 475-504, June.
- Oliver Lunding Sandqvist, 2023. "A multistate approach to disability insurance reserving with information delays," Papers 2312.14324, arXiv.org.
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.- Christiansen, Marcus C. & Niemeyer, Andreas & Teigiszerová, Lucia, 2015. "Modeling and forecasting duration-dependent mortality rates," Computational Statistics & Data Analysis, Elsevier, vol. 83(C), pages 65-81.
- Katrien Antonio & Anastasios Bardoutsos & Wilbert Ouburg, 2015.
"Bayesian Poisson log-bilinear models for mortality projections with multiple populations,"
Working Papers Department of Accountancy, Finance and Insurance (AFI), Leuven
485564, KU Leuven, Faculty of Economics and Business (FEB), Department of Accountancy, Finance and Insurance (AFI), Leuven.
- Katrien Antonio & Anastasios Bardoutsos & Wilbert Ouburg, 2015. "Bayesian Poisson log-bilinear models for mortality projections with multiple populations," BAFFI CAREFIN Working Papers 1505, BAFFI CAREFIN, Centre for Applied Research on International Markets Banking Finance and Regulation, Universita' Bocconi, Milano, Italy.
- Blake, David & El Karoui, Nicole & Loisel, Stéphane & MacMinn, Richard, 2018.
"Longevity risk and capital markets: The 2015–16 update,"
Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 157-173.
- David Blake & Nicole El Karoui & Stéphane Loisel & Richard Macminn, 2018. "Longevity risk and capital markets: The 2015–16 update," Post-Print hal-01995778, HAL.
- Huang, Huaxiong & Milevsky, Moshe A. & Salisbury, Thomas S., 2012.
"Optimal retirement consumption with a stochastic force of mortality,"
Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 282-291.
- Huaxiong Huang & Moshe A. Milevsky & Thomas S. Salisbury, 2012. "Optimal retirement consumption with a stochastic force of mortality," Papers 1205.2295, arXiv.org.
- Pablo Alonso González & Irene Albarrán Lozano, 2009. "Private long term care insurance: Theoretical approach and results applied to the Spanish case," Alcamentos 0902, Universidad de Alcalá, Departamento de Economía..
- Homa Magdalena, 2020. "Mathematical Reserves vs Longevity Risk in Life Insurances," Econometrics. Advances in Applied Data Analysis, Sciendo, vol. 24(1), pages 23-38, March.
- Chen, An & Li, Hong & Schultze, Mark, 2022. "Collective longevity swap: A novel longevity risk transfer solution and its economic pricing," Journal of Economic Behavior & Organization, Elsevier, vol. 201(C), pages 227-249.
- Blake, David & Cairns, Andrew J.G., 2021. "Longevity risk and capital markets: The 2019-20 update," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 395-439.
- Bravo, Jorge M. & Ayuso, Mercedes & Holzmann, Robert & Palmer, Edward, 2021. "Addressing the life expectancy gap in pension policy," Insurance: Mathematics and Economics, Elsevier, vol. 99(C), pages 200-221.
- Djehiche, Boualem & Löfdahl, Björn, 2014.
"Risk aggregation and stochastic claims reserving in disability insurance,"
Insurance: Mathematics and Economics, Elsevier, vol. 59(C), pages 100-108.
- Boualem Djehiche & Bjorn Lofdahl, 2014. "Risk aggregation and stochastic claims reserving in disability insurance," Papers 1401.3589, arXiv.org, revised Aug 2014.
- Maegebier, Alexander, 2013. "Valuation and risk assessment of disability insurance using a discrete time trivariate Markov renewal reward process," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 802-811.
- Bauer, Daniel & Börger, Matthias & Ruß, Jochen, 2010. "On the pricing of longevity-linked securities," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 139-149, February.
- David Blake & Andrew Cairns & Guy Coughlan & Kevin Dowd & Richard MacMinn, 2013. "The New Life Market," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 501-558, September.
- Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla & Vasily Kartashov, 2013.
"Lifecycle Portfolio Choice With Systematic Longevity Risk and Variable Investment—Linked Deferred Annuities,"
Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 649-676, September.
- Vasily Kartashov & Raimond Maurer & Olivia S. Mitchell & Ralph Rogalla, 2011. "Lifecycle Portfolio Choice with Systematic Longevity Risk and Variable Investment-Linked Deferred Annuities," NBER Working Papers 17505, National Bureau of Economic Research, Inc.
- Andreas Niemeyer, 2015. "Safety Margins for Systematic Biometric and Financial Risk in a Semi-Markov Life Insurance Framework," Risks, MDPI, vol. 3(1), pages 1-26, January.
- Jaap Spreeuw & Iqbal Owadally & Muhammad Kashif, 2022. "Projecting Mortality Rates Using a Markov Chain," Mathematics, MDPI, vol. 10(7), pages 1-18, April.
- De Waegenaere, A.M.B. & Melenberg, B. & Stevens, R., 2010. "Longevity risk," Other publications TiSEM fa89b4b3-82f5-4c65-8c2c-b, Tilburg University, School of Economics and Management.
- Jevtić, Petar & Regis, Luca, 2015.
"Assessing the solvency of insurance portfolios via a continuous-time cohort model,"
Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 36-47.
- Petar Jevtic' & Luca Regis, 2014. "Assessing the solvency of insurance portfolios via a continuous time cohort model," Working Papers 7/2014, IMT School for Advanced Studies Lucca, revised Jul 2014.
- Alexandros E. Milionis & Nikolaos G. Galanopoulos & Peter Hatzopoulos & Aliki Sagianou, 2022. "Forecasting actuarial time series: a practical study of the effect of statistical pre-adjustments," Working Papers 297, Bank of Greece.
- Anja De Waegenaere & Bertrand Melenberg & Ralph Stevens, 2010.
"Longevity Risk,"
De Economist, Springer, vol. 158(2), pages 151-192, June.
- De Waegenaere, A.M.B. & Melenberg, B. & Stevens, R., 2010. "Longevity risk," Other publications TiSEM fa89b4b3-82f5-4c65-8c2c-b, Tilburg University, School of Economics and Management.
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:spr:alstar:v:96:y:2012:i:2:p:155-186. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.