___

• Assa, H. On optimal reinsurance policy with distortion risk measures and premiums, Insur. Math. Econ. 61, 70-75, 2015.
• Azcue, P. and Muler, N. Optimal reinsurance and dividend distribution policies in the Cramér-Lundberg model, Math. Financ. 15 (2), 261-308, 2005.
• Balbás, A., Balbás, B., Balbás, R. and Heras, A. Optimal reinsurance under risk and incertainty, Insur. Math. Econ. 60, 61-74, 2015.
• Balbás, A., Balbás, R. and Heras, A. Optimal reinsurance with general risk measures, Insur. Math. Econ. 44 (3), 374-384, 2009.
• Bohman, H. and Esscher, F. Studies in risk theory with numerical illustrations concerning distribution functions and stop loss premiums. Part I, Scand. Actuar. J. 1963 (3-4), 173- 225, 1963.
• Borch, K. An attempt to determine the optimum amount of stop loss reinsurance, Transactions of the 16th International Congress of Actuaries I, 597-610, 1960.
• Borch, K. The optimal reinsurance treaty, Astin Bull. 5 (2), 293-297, 1969.
• Borch, K. The mathematical theory of insurance (Lexington Books, Lexington, 1974).
• Cai, J. and Tan, K. S. Optimal retention for a stop-loss reinsurance under the VaR and CTE risk measures, Astin Bull. 37 (1), 93-112, 2007.
• Cai, J., Fang, Y., Li, Z. and Willmot, G. E. Optimal reciprocal reinsurance treaties under the joint survival probability and the joint profitable probability, J. Risk Insur. 80 (1), 145-168, 2013.
• Cai, J., Tan, K. S., Weng, C. and Zhang, Y. Optimal reinsurance under VaR and CTE risk measures, Insur. Math. Econ. 43 (1), 185-196, 2008.
• Castañer, A., Claramunt, M. M. and Lefèvre, C. Survival probabilities in bivariate risk models, with application to reinsurance, Insur. Math. Econ. 53 (3), 632-642, 2013.
• Castañer, A., Claramunt, M. M. and Mármol, M. Ruin probability and time of ruin with a proportional reinsurance threshold strategy, Top 20 (3), 614-638, 2012.
• Centeno, M. L. and Simões, O. Optimal reinsurance, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 103 (2), 387-404, 2009.
• Cheung, K. C. Optimal reinsurance revisited - a geometric approach, Astin Bull. 40 (1), 221-239, 2010.
• Cui, W., Yang, J. and Wu, L. Optimal reinsurance minimizing the distortion risk measure under general reinsurance premium principles, Insur. Math. Econ. 53 (1), 74-85, 2013
• Daykin, C. D., Pentikainen, T. and Pesonen, M. Practical risk theory for actuaries (Chapman and Hall, London, 1994).
• Denuit, M. and Charpentier, A. Mathématiques de l’assurance non-vie: Tome 1, Principes fondamentaux de théorie du risque (Economica, Paris, 2004).
• Denuit, M. and Varmandele, C. Optimal reinsurance and stop-loss order, Insur. Math. Econ. 22 (1), 229-233, 1998.
• Dhaene, J., Denuit, M., Goovaerts, M. J., Kaas, R. and Vyncke, D. The concept of comonotonicity in actuarial science and finance: applications, Insur. Math. Econ. 31 (2), 133-161, 2002.
• Dickson, D. C. M. Insurance risk and ruin (Cambridge University Press, United Kingdom, 2005).
• Dimitrova, D. S. and Kaishev, V. K. Optimal joint survival reinsurance: an efficient frontier approach, Insur. Math. Econ. 47 (1), 27-35, 2010.
• Fang, Y. and Qu, Z. Optimal combination of quota-share and stop-loss reinsurance treaties under the joint survival probability, IMA. J. Manag. Math. 25 (1), 89-103, 2014.
• Gajek, L. and Zagrodny, D. Insurer’s optimal reinsurance strategies, Insur. Math. Econ. 27 (1), 105-112, 2000.
• Gajek, L. and Zagrodny, D. Reinsurance arrangements maximizing insurer’s survival probability, J. Risk Insur. 71 (3), 421-435, 2004.
• Gendron, M. and Crepeau, H. On the computation of the aggregate claim distribution when individual claims are inverse gaussian, Insur. Math. Econ. 8 (3), 251-258, 1989.
• Gerber, H. U. The impact of reinsurance on the insurer’s risk, in: F. De Vylder, M. Goovaerts, J. Haezendonck. Premium calculation in insurance (D. Reidel Publishing Company, Dordrecht, Holland, 1984), 171-181.
• Guerra, M. and Centeno, M. D. L. Optimal reinsurance policy: the adjustment coefficient and the expected utility criteria, Insur. Math. Econ. 42 (2), 529-539, 2008.
• Hesselager, O. Some results on optimal reinsurance in terms of the adjustment coefficient, Scand. Actuar. J. 1990 (1), 80-95, 1990.
• Hoøjgaard, B. and Taksar, M. Optimal proportional reinsurance policies for diffusion models, Scand. Actuar. J. 1998 (2), 166-180, 1998.
• Hoøjgaard, B. and Taksar, M. Optimal proportional reinsurance policies for diffusion models with transaction costs, Insur. Math. Econ. 22 (1), 41-51, 1998.
• Hürlimann, W. Non-optimality of a linear combination of proportional and non-proportional reinsurance, Insur. Math. Econ. 24 (3), 219-227, 1999.
• Hürlimann, W. Optimal reinsurance revisited - point of view of cedent an reinsurer, Astin Bull. 41 (2), 547-574, 2011.
• Ignatov, Z. G., Kaishev, V. K. and Krachunov, R. S. Optimal retention levels, given the joint survival of cedent and reinsurer, Scand. Actuar. J. 2004 (6), 401-430, 2004.
• Kaas, R. How to (and how not to) compute stop-loss premiums in practice, Insur. Math. Econ. 13 (3), 241-254, 1993.
• Kaas, R., Goovaerts, M. J., Dhaene, J. and Denuit, M. Modern actuarial risk theory: using R (Springer, Heidelberg, 2008).
• Kaishev, V. K. and Dimitrova, D. S. Excess of loss reinsurance under joint survival optimality, Insur. Math. Econ. 39 (3), 376-389, 2006.
• Kaluszka, M. Optimal reinsurance under mean-variance premium principles, Insur. Math. Econ. 28 (1), 61-67, 2001.
• Liang, Z. and Guo, J. Optimal proportional reinsurance and ruin probability, Stoch. Model. 1984 (2), 65-90, 2007.
• Pesonen, M. I. Optimal Reinsurance, Scand. Actuar. J. 1990 (1), 80-95, 1984.
• Salcedo-Sanz, S., Carro-Calvo, L., Claramunt, M. M., Castañer, A. and Mármol, M. Effectively tackling reinsurance problems by using evolutionary and swarm intelligence algorithms, Risks 2 (2), 132-145, 2014.
• Seal, H. L. Approximations to risk theory’s F(x,t) by means of the gamma distribution, Astin Bull. 9 (1-2), 213-218, 1977.
• Schmidli, H. Optimal proportional reinsurance policies in a dynamic setting, Scand. Actuar. J. 2001 (1), 55-68, 2001. 519
• Schmidli, H. On Cramer-Lundberg approximations for ruin probabilities under optimal excess of loss reinsurance, Working Paper 193. Laboratory of Actuarial Mathematics, University of Copenhagen, 2004.
• Tan, K. S., Weng, C. and Zhang, Y. VaR and CTE criteria for optimal quota-share and stop-loss reinsurance, N. Am. Actuar. J. 13 (4), 459-482, 2009.
• Van Heerwaarden, A. E., Kaas, R. and Goovaerts, M. J. Optimal reinsurance in relation to ordering of risks, Insur. Math. Econ. 8 (1), 11-17, 1989.
• Van Wouwe, M., De Vylder, F. and Goovaerts, M. The influence of reinsurance limits on infinite time of ruin probabilities, in: F. De Vylder, M. Goovaerts, J. Haezendonck. Premium calculation in insurance (D. Reidel Publishing Company, Dordrecht, Holland, 1984), 493- 504.
• Zheng, Y. and Cui, W. Optimal reinsurance with premium constraint under distortion risk measures, Insur. Math. Econ. 59, 109-120, 2014.
• Zheng, Y., Cui, W. and Yang, J. Optimal reinsurance under distortion risk measures and expected value premium principle for reinsurer, J. Syst. Sci. Complex. 28 (1), 122-143, 2015.
• Zhu, Y., Chi, Y. and Weng, C. Multivariate reinsurance designs for minimizing an insurer’s capital requirement, Insur. Math. Econ. 59, 144-155, 2014.