1. Introduction

2. Approaches to Word Reordering in Statistical Machine Translation
2.1 Phrase-based SMT
2.2 N-gram based SMT
2.3 Tree-based SMT
2.4 Word Reordering as Pre- (or Post-) Processing

3. Evaluating Word Reordering in Statistical Machine Translation
3.1 General-purpose metrics
3.2 Reordering-specific metrics

4. Reordering Phenomena in Natural Languages
4.1 A qualitative analysis
4.2 Word order profiles
4.3 Word order differences

5. Discussion and conclusions