References
- Aczél , János . 1966 . Lectures on Functional Equations and Their Applications , New York : Academic Press .
- Arnold , Ludwig . 1964 . Stochastic Differential Equations: Theory and Applications , New York : John Wiley and Sons .
- Bowers , Newton L. , Gerber , Hans U. , Hickman , James C. , Jones , Donald A. and Nesbitt , Cecil J. 1997 . Actuarial Mathematics , 2nd ed. , Schaumburg, Ill. : Society of Actuaries .
- Browne , Sid . 1995 . Optimal Investment Policies for a Firm with a Random Risk Process: Exponential Utility and Minimization of the Probability of Ruin . Mathematics of Operations Research , 20 : 937 – 958 .
- Gerber , Hans U. 1975 . The Surplus Process as a Fair Game—Utilitywise . ASTIN Bulletin , 8 ( 3 ) : 307 – 22 .
- Grandell , Jan . 1991 . Aspects of Risk Theory , New York : Springer .
- Hipp , Christian and Plum , Michael . 2000 . Optimal Investment for Insurers . Insurance: Mathematics and Economics , 27 : 215 – 28 .
- Hipp , Christian and Taksar , Michael . 2000 . Stochastic Control for Optimal New Business . Insurance: Mathematics and Economics , 26 : 185 – 92 .
- Karatzas , Ioannis and Shreve , Steven E. 1991 . Brownian Motion and Stochastic Calculus , 2nd ed , New York : Springer . Graduate Texts in Mathematics, vol. 113
- Klugman , Stuart A. , Panjer , Harry H. and Willmot , Gordon E. 1998 . Loss Models: From Data to Decisions , New York : John Wiley and Sons .
- Liu , Chi Sang and Yang , Hailiang . 2004 . Optimal Investment for an Insurer to Minimize its Probability of Ruin . North American Actuarial Journal , 8 ( 2 ) : 11 – 31 .
- Pestien , Victor C. and Sudderth , William D. 1985 . Continuous-Time Red and Black: How to Control a Diffusion to a Goal . Mathematics of Operations Research , 10 ( 4 ) : 599 – 611 .
- Schmidli , Hanspeter . 2001 . Optimal Proportional Reinsurance Policies in a Dynamic Setting . Scandinavian Actuarial Journal , : 55 – 68 .
- Schmidli , Hanspeter . 2002 . On Minimizing the Ruin Probability by Investment and Reinsurance . Annals of Applied Probability , 12 : 890 – 907 .