| Abstract | 第7-10页 |
| 内容摘要 | 第11-19页 |
| Chapter 1 Introduction and Overview | 第19-46页 |
| 1.1 Order Statistics | 第19-21页 |
| 1.2 Limit Theorems | 第21-24页 |
| 1.3 Limit Theory of Order Statistics | 第24-30页 |
| 1.3.1 Limit theory of Order Statistics with Fixed Rank | 第24-26页 |
| 1.3.2 Limit Theory of Order Statistics with Variable Rank | 第26-30页 |
| 1.4 Generalized Order Statistics and its Dual | 第30-39页 |
| 1.4.1 Limit Theory of Univariate m-gos and its Dual | 第33-36页 |
| 1.4.2 Limit Theory of Bivariate m-gos and its Dual | 第36-39页 |
| 1.5 Record Values | 第39-44页 |
| 1.5.1 Record Functions | 第41-44页 |
| 1.6 Dissertation Outline | 第44-46页 |
| Chapter 2 Random Indices Under General Conditions | 第46-71页 |
| 2.1 Limit Theory of Order Statistics with Random Indices | 第46-51页 |
| 2.2 Limit Theory of Univariate m-gos and its Dual with Random Indices | 第51-61页 |
| 2.3 Limit Theory of Univariate Record Values with Random Indices | 第61-71页 |
| 2.3.1 Applications | 第69-71页 |
| Chapter 3 Limit Theory of Bivariate m-gos with Random Indices | 第71-95页 |
| 3.1 The Random Sample Size and the Basic rv's are Independent | 第71-90页 |
| 3.2 The Interrelation of v_n and the Basic rv's is not Restricted | 第90-93页 |
| 3.3 Applications | 第93-95页 |
| Chapter 4 Limit Theory of Bivariate m-dgos with Random Indices | 第95-118页 |
| 4.1 The Random Sample Size and the Basic rv's are Independent | 第96-113页 |
| 4.2 The Interrelation of v_n and the Basic rv's is not Restricted | 第113-116页 |
| 4.3 Applications | 第116-118页 |
| Chapter 5 Limit Theory of Joint Record Values with Fixed andRandom Indices | 第118-142页 |
| 5.1 Limit Theory of Joint Record Values | 第119-130页 |
| 5.1.1 Applications: Weak Convergence of Some Record Functions | 第123-130页 |
| 5.2 Limit Theory of Joint Record Values with Random Indices | 第130-142页 |
| 5.2.1 Applications: Weak Convergence of Random Record Functions | 第138-142页 |
| References | 第142-149页 |
| Acknowledgements | 第149-150页 |
| List of Publications | 第150页 |
