Weighted risk capital allocations
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Arnold, 1983
Black, 1972, Capital market equilibrium with restricted borrowing, Journal of Business, 45, 444, 10.1086/295472
Bühlmann, 1984, The general economic premium principle, ASTIN Bulletin, 14, 13, 10.1017/S0515036100004773
Cai, 2005, Conditional tail expectations for multivariate phase-type distributions, Journal of Applied Probability, 42, 810, 10.1239/jap/1127322029
Chiragiev, 2007, Multivariate Pareto portfolios: TCE-based capital allocation and divided differences, Scandinavian Actuarial Journal, 4, 261, 10.1080/03461230701554007
Denneberg, 1994
Denuit, 2005
Denuit, 2006, Risk measurement with equivalent utility principles, Statistics and Decisions, 24, 1, 10.1524/stnd.2006.24.1.1
Dhaene, 2008, Some results on the CTE-based capital allocation rule, Insurance: Mathematics and Economics, 42, 855, 10.1016/j.insmatheco.2007.09.004
Dhaene, 2008, Can a coherent risk measure be too subadditive?, Journal of Risk and Insurance, 75, 365, 10.1111/j.1539-6975.2008.00264.x
Dhaene, 2006, Risk measures and comonotonicity: A review, Stochastic Models, 22, 573, 10.1080/15326340600878016
Fang, 1987
Filipović, 2008, Optimal capital and risk transfers for group diversification, Mathematical Finance, 18, 55, 10.1111/j.1467-9965.2007.00322.x
Furman, 2005, Risk capital decomposition for a multivariate dependent gamma portfolio, Insurance: Mathematics and Economics, 37, 635, 10.1016/j.insmatheco.2005.06.006
Furman, 2006, Tail variance premium with applications for elliptical portfolio of risks, ASTIN Bulletin, 36, 433, 10.2143/AST.36.2.2017929
Furman, E., Landsman, Z., 2007. Economic capital allocations for non-negative portfolios of dependent risks. In: Proceedings of the 37-th International ASTIN Colloquium, Orlando. http://www.actuaries.org/ASTIN/Colloquia/Orlando/Papers/Furman.pdf
Furman, 2008, Weighted premium calculation principles, Insurance: Mathematics and Economics, 42, 459, 10.1016/j.insmatheco.2007.10.006
Gerber, H.U., 1979. An introduction to mathematical risk theory. University of Pennsylvania, Philadelphia
Goovaerts, 1984
Goovaerts, 2003, Economical capital allocation derived from risk measures, North American Actuarial Journal, 7, 44, 10.1080/10920277.2003.10596084
Goovaerts, 2004, A comonotonic image of independence for additive risk measures, Insurance: Mathematics and Economics, 35, 581, 10.1016/j.insmatheco.2004.07.005
Goovaerts, 2008, Actuarial risk measures for financial derivative pricing, Insurance: Mathematics and Economics, 42, 540, 10.1016/j.insmatheco.2007.04.001
Heilmann, 1989, Decision theoretic foundations of credibility theory, Insurance: Mathematics and Economics, 8, 77, 10.1016/0167-6687(89)90050-4
Heilpern, 2003, A rank-dependent generalization of zero utility principle, Insurance: Mathematics and Economics, 33, 67, 10.1016/S0167-6687(03)00144-6
Hesselager, O., Andersson, U., 2002. Risk sharing and risk capital allocation. Working paper. Tryg Insurance. Ballerup, Denmark
Hürlimann, 2001, Analytical evaluation of economic risk capitals for portfolio of gamma risks, ASTIN Bulletin, 31, 107, 10.2143/AST.31.1.996
Kaas, R., van Heerwaarden, A.E., Goovaerts, M.J., 1994. Ordering of Actuarial Risks. In: CAIRE Education Series, Brussels
Kamps, 1998, On a class of premium principles including the Esscher principle, Scandinavian Actuarial Journal, 1, 75, 10.1080/03461238.1998.10413993
Kotz, 2000
Laeven, 2004, An optimization approach to the dynamic allocation of economic capital, Insurance: Mathematics and Economics, 35, 299, 10.1016/j.insmatheco.2004.04.002
Landsman, 2006, On the generalization of Stein’s Lemma for elliptical class of distributions, Statistics and Probability Letters, 76, 1012, 10.1016/j.spl.2005.11.004
Landsman, 2008, Stein’s lemma for elliptical random vectors, Journal of Multivariate Analysis, 99, 912, 10.1016/j.jmva.2007.05.006
Landsman, 2007, An actuarial premium pricing model for nonnormal insurance and financial risks in incomplete markets, North American Actuarial Journal, 11, 119, 10.1080/10920277.2007.10597440
Landsman, 2003, Tail conditional expectation for elliptical distributions, North American Actuarial Journal, 7, 55, 10.1080/10920277.2003.10596118
Lehmann, 1966, Some concepts of dependence, Annals of Mathematical Statistics, 37, 1137, 10.1214/aoms/1177699260
Lintner, 1965, Security prices, risk, and maximal gains from diversification, Journal of Finance, 20, 587, 10.2307/2977249
Mari, 2001
Mathai, 1991, On a multivariate gamma, Journal of Multivariate Analysis, 39, 135, 10.1016/0047-259X(91)90010-Y
Muller, 1987, Economic premium principles in insurance and the capital asset pricing model, ASTIN Bulletin, 17, 141, 10.2143/AST.17.2.2014969
Panjer, H.H., 2002. Measurement of risk, solvency requirements and allocation of capital within financial conglomerates. Institute of Insurance and Pension Research Report 01-15. University of Waterloo, Waterloo
Panjer, H., Jing, J., 2001. Solvency and capital allocation. University of Waterloo, Institute of Insurance and Pension Research, Research Report 01-14, 1–8
Pflug, 2007
Schechtman, 2008, Testing hypotheses about absolute concentration curves and marginal conditional stochastic dominance, Econometric Theory, 24, 1044, 10.1017/S0266466608080407
Shalit, 1994, Marginal conditional stochastic dominance, Management Science, 40, 670, 10.1287/mnsc.40.5.670
Sharpe, 1964, Capital asset prices: A theory of market equilibrium under conditions of risk, Journal of Finance, 19, 425, 10.2307/2977928
Stein, 1981, Estimation of the mean of a multivariate normal distribution, Annals of Statistics, 9, 1135, 10.1214/aos/1176345632
Tasche, D., 1999. Risk contributions and performance measurement. Technical Report. Zentrum Mathematik (SCA), TU München, München, pp. 1–26
Tsanakas, 2008, Risk measurement in the presence of background risk, Insurance: Mathematics and Economics, 42, 520, 10.1016/j.insmatheco.2007.01.015
Tsanakas, 2003, Risk capital allocation and cooperative pricing of insurance liabilities, Insurance: Mathematics and Economics, 33, 239, 10.1016/S0167-6687(03)00137-9
Tsanakas, 2003, Risk measures and theories of choice, British Actuarial Journal, 9, 959, 10.1017/S1357321700004414
Valdez, 2003, Wang’s capital allocation formula for elliptically contoured distributions, Insurance: Mathematics and Economics, 33, 517, 10.1016/j.insmatheco.2003.07.003
Venter, 2004, Capital allocation survey with commentary, North American Actuarial Journal, 8, 96, 10.1080/10920277.2004.10596139
Vernic, 2008, Multivariate skew-normal distributions with applications in insurance, Insurance: Mathematics and Economics, 38, 413, 10.1016/j.insmatheco.2005.11.001
Wang, 1995, Insurance pricing and increased limits ratemaking by proportional hazards transforms, Insurance: Mathematics and Economics, 17, 43, 10.1016/0167-6687(95)00010-P
Wang, 1996, Premium calculation by transforming the layer premium density, ASTIN Bulletin, 26, 71, 10.2143/AST.26.1.563234
Wang, 1998, An actuarial index of the right-tail risk, North American Actuarial Journal, 2, 88, 10.1080/10920277.1998.10595708
Wang, S., 2002. A set of new methods and tools for enterprize risk capital management and portfolio optimization. CAS Summer Forum. Dynamic Financial Analysis Discussion Papers, pp. 43–78
Wang, 2007, Normalized exponential tilting: Pricing and measuring multivariate risks, North American Actuarial Journal, 11, 89, 10.1080/10920277.2007.10597468
Young, 2004, Premium principles