| 中文摘要 | 第1-7页 |
| Abstract | 第7-10页 |
| Chapter 1 Introduction | 第10-24页 |
| ·Background | 第10-13页 |
| ·Basic Definitions and Preliminaries | 第13-22页 |
| ·Sketch of the Thesis | 第22-24页 |
| Chapter 2 Foata and Han's Bijection and the Sorting Index | 第24-42页 |
| ·Preliminaries | 第24-27页 |
| ·Combinatorial Interpretation | 第27-31页 |
| ·An Equidistribution Result on Restricted Permutations | 第31-38页 |
| ·Two New Statistics of Standard Fibonacci Tableaux | 第38-42页 |
| Chapter 3 Distributions of Set-valued Statistics on Signed Permuta-tions | 第42-72页 |
| ·Preliminaries | 第43-44页 |
| ·New Set-valued Statistics on Signed Permutations | 第44-46页 |
| ·Two Codes for Signed Permutations | 第46-60页 |
| ·A Bijection on B_n and Equidistributions of Set-valued Statistics | 第60-69页 |
| ·Remarks | 第69-72页 |
| Chapter 4 Distributions of Statistics on Even-signed Permutations | 第72-88页 |
| ·Preliminaries | 第72-73页 |
| ·Two New Statistics and A Bijection on D_n | 第73-82页 |
| ·Algebraic Proof via Group Algebra | 第82-88页 |
| References | 第88-94页 |
| 致谢 | 第94-96页 |
| 个人简历 | 第96页 |
