| Abstract in Chinese | 第1-6页 |
| Abstract in English | 第6-7页 |
| Preface | 第7-9页 |
| Chapter 1 The expansion of convolution | 第9-20页 |
| §1.1 Introduction | 第9-10页 |
| §1.2 The expansion of convolution of dfs with GRV tails | 第10-15页 |
| §1.3 Convolution closure of dfs with GRV tails | 第15-20页 |
| Chapter 2 The expansion of convolution of dfs with 2nd and n-th order GRV tails | 第20-29页 |
| §2.1 The expansion of convolution of dfs with 2nd order GRV tails | 第20-24页 |
| §2.2 The expansion of convolution of dfs with n-th order GRV tails | 第24-29页 |
| Chapter 3 The ruin problem | 第29-38页 |
| Bibliography | 第38-40页 |
| Acknowledgements | 第40页 |