Extreme Value and Related Models with Applications in Engineering and Science

I: DATA, INTRODUCTION AND MOTIVATION.

1. Introduction and Motivation.

II: PROBABILISTIC MODELS USEFUL IN EXTREMES.

2. Discrete Probabilistic Models.

3. Continuous Probabilistic Models.

III: MODEL ESTIMATION, SELECTION, AND VALIDATION.

4. Model Estimation.

5. Model Selection and Validation.

IV: EXACT MODELS FOR ORDER STATISTICS AND EXTREMES.

6. Order Statistics.

7. Point Processes and Exact Models.

V: ASYMPTOTIC MODELS FOR EXTREMES AND EXCEEDANCES.

8. Limit Distributions of Order Statistics.

9. Limit Distributions of Exceedances.

10. Multivariate Extremes.

Appendix: Statistical Tables.

Bibliography. 

Index.