|
|
|
|
References
|
|
| |
| 1. |
Owen M. P., Žitković G., “Optimal investment with an unbounded random endowment and utility-based pricing”, Math. Finance, 19:1 (2009), 129–159 |
| 2. |
Pliska S. R., “A stochastic calculus model of continuous trading: optimal portfolios”, Math. Oper. Res., 11:2 (1986), 370–382 |
| 3. |
Quenez M.-C., “Optimal portfolio in a multiple-priors model”, Seminar on Stochastic Analysis, Random Fields and Applications IV, Progr. Probab., 58, Birkhäuser, Basel, 2004, 291–321 |
| 4. |
Rockafellar R. T., “Extension of {F}enchel's duality theorem for convex functions”, Duke Math. J., 33:1 (1966), 81–89 |
| 5. |
Samuelson P. A., “Lifetime portfolio selection by dynamic stochastic programming”, Rev. Econom. Statist., 51:3 (1969), 239–246 |
| 6. |
Schachermayer W., “Optimal investment in incomplete markets when wealth may become negative”, Ann. Appl. Probab., 11:3 (2001), 694–734 |
| 7. |
Schachermayer W., “Optimal investment in incomplete financial markets”, Mathematical Finance–Bachelier Congress (2000, Paris), Springer, Berlin, 2002, 427–462 |
| 8. |
Schied A., “On the {N}eyman–{P}earson problem for law-invariant risk measures and robust utility functionals”, Ann. Appl. Probab., 14:3 (2004), 1398–1423 |
| 9. |
Schied A., “Optimal investments for robust utility functionals in complete market models”, Math. Oper. Res., 30:3 (2005), 750–764 |
| 10. |
Schied A., “Risk measures and robust optimization problems”, Stoch. Models, 22:4 (2006), 753–831 |
| 11. |
Schied A., “Optimal investments for risk- and ambiguity-averse preferences: a duality approach”, Finance Stoch., 11:1 (2007), 107–129 |
| 12. |
Schied A., “Robust optimal control for a consumption-investment problem”, Math. Methods Oper. Res., 67:1 (2008), 1–20 |
| 13. |
Schied A., Föllmer H., Weber S., “Robust preferences and robust portfolio choice”, Mathematical Modeling and Numerical Methods in Finance, Handbook of Numerical Analysis, 15, Special Volume, Elsevier/North-Holland, Amsterdam, 2009, 29–87 |
| 14. |
Schied A., Wu C.-T., “Duality theory for optimal investments under model uncertainty”, Statist. Decisions, 23:3 (2005), 199–217 |
| 15. |
Talay D., Zheng Z., “Worst case model risk management”, Finance Stoch., 6:4 (2002), 517–537 |
| 16. |
Neiman Dzh. fon, Morgenshtern O., Teoriya igr i ekonomicheskoe povedenie, Nauka, M., 1970, 707 pp. |
| 17. |
Wittmüss W., “Robust optimization of consumption with random endowment”, Stochastics, 80:5 (2008), 459–475 |
| 18. |
Yan J. A., “Caractérisation d'une classe d'ensembles convexes de $L^1$ ou $H^1$”, Lecture Notes in Math., 784, 1980, 220–222 |
| 19. |
Yan J. A., “A numeraire-free and original probability based framework for financial markets”, Proceedings of the International Congress of Mathematicians (Beijing, 2002), v. III, Higher Ed. Press, Beijing, 2002, 861–871 |
| 20. |
Z{ă}linescu C., Convex Analysis in General Vector Spaces, World Scientific, River Edge, 2002, 367 pp. |
| 21. |
Žitković G., “Utility maximization with a stochastic clock and an unbounded random endowment”, Ann. Appl. Probab., 15:1B (2005), 748–777 |