Table of Contents:

Part I: Models

Motivation: Earthquake science challenges
Seismological background
Stochastic processes and earthquake occurrence models
Part II: Statistics 4. Statistical distributions of earthquake numbers: Consequence of branching process
5. Earthquake size distribution
6. Temporal earthquake distribution
7. Earthquake location distribution
8. Focal mechanism orientation and source complexity

Part III: Testable Forecasts 9. Global earthquake patterns
10. Long- and short-term earthquake forecasting
11. Testing long-term earthquake forecasts: Likelihood methods and error diagrams
12. Future prospects and problems