Point Processes and Random Sets

1. Introduction
1.1. Random closed sets and point processes: general ideas
1.2. Some fields of application
2. Point processes
2.1. Basic properties and definitions
2.2. Intensity measure and moment measures
2.3. Main point processes
2.4. Marked point process
2.5. Poisson marked point process
2.6. Palm distributions
2.7. Principal operations on point processes
3. Point processes on the real line.
3.1. Compensator and stochastic intensity.
3.2. Stochastic integral with respect to a point process.
3.3. Links with martingale theory
4. Random closed sets
4.1. Definitions and examples
4.2. Capacity functional and the Choquet theorem
4.3. Particle process and germ-grain-process
4.4. The Boolean model
4.5. Some problems of applicative interest