On Sums of Claims and their Applications in Analysis of Pension Funds and Insurance Products
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DOI: 10.18267/j.pep.488
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- Edward Whitehouse, 2009. "Pensions During the Crisis: Impact on Retirement Income Systems and Policy Responses," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 34(4), pages 536-547, October.
- Michal Uherek & Milan Stehlík & Luboš Střelec, 2011. "On robust analysis of paycheck: case study," Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, Mendel University Press, vol. 59(4), pages 371-378.
- Ulrich Hommel & Mischa Ritter, 2005. "New Approaches to Managing Catastrophic Insurance Risk," Springer Books, in: Michael Frenkel & Markus Rudolf & Ulrich Hommel (ed.), Risk Management, edition 0, pages 341-367, Springer.
- Brazauskas, Vytaras & Serfling, Robert, 2003. "Favorable Estimators for Fitting Pareto Models: A Study Using Goodness-of-fit Measures with Actual Data," ASTIN Bulletin, Cambridge University Press, vol. 33(2), pages 365-381, November.
- Vandewalle, B. & Beirlant, J. & Christmann, A. & Hubert, M., 2007. "A robust estimator for the tail index of Pareto-type distributions," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 6252-6268, August.
- Sheldon Lin, X. & E. Willmot, Gordon & Drekic, Steve, 2003. "The classical risk model with a constant dividend barrier: analysis of the Gerber-Shiu discounted penalty function," Insurance: Mathematics and Economics, Elsevier, vol. 33(3), pages 551-566, December.
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Cited by:
- David J. Hand, 2018. "Statistical challenges of administrative and transaction data," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 181(3), pages 555-605, June.
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More about this item
Keywords
light- and heavy-tailed distributions; catastrophic events; claims; first and second; robust approach; Johnson estimators; the 20-80 rule;All these keywords.
JEL classification:
- C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other
- G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
Statistics
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