| Chinese Abstract | 第1-10页 |
| English Abstract | 第10-16页 |
| Chapter 1 Representation Theorem for Generators of Backward Stochastic Differential Equations | 第16-28页 |
| §1．1 Introduction | 第16-17页 |
| §1．2 Preliminaries | 第17-19页 |
| §1．3 Representation Theorem for Generators of BSDEs | 第19-28页 |
| Chapter 2 Uniqueness, Translation invariance, Subadditivity and Converse Comparison Theorems for g-expectations | 第28-52页 |
| §2．1 Introduction | 第28-29页 |
| §2．2 Uniqueness Theorems for g-Expectations and BSDEs | 第29-38页 |
| §2．3 Translation Invariance, Subadditivity and Homogeneity for g-Expectations | 第38-47页 |
| §2．4 Converse Comparison Theorem for BSDEs | 第47-52页 |
| Chapter 3 Jensen's Inequality for g-Expectation | 第52-78页 |
| §3．1 Introduction | 第52-53页 |
| §3．2 Jensen's Inequality for g-Expectation | 第53-67页 |
| §3．3 Jensen's Inequality for g-Expectation for Monotonic Convex Functions | 第67-73页 |
| §3．4 Jensen's Inequality of Bivariate Function for g-Expectation | 第73-78页 |
| Chapter 4 Price System via BSDEs and Risk Measures via g-Expectation | 第78-94页 |
| §4．1 Price System via BSDEs | 第78-82页 |
| §4．2 Risk Measure via g-Expectation | 第82-94页 |
| References | 第94-98页 |
| Publications | 第98-99页 |
| Acknowledgments | 第99-100页 |
| 学位论文评阅及答辩情表 | 第100页 |
