Stochastic Geometry: Selected Topics

Preface
Acknowledgments

1: Preliminaries
1.1 Geometry and measure in the Euclidean space
1.2 Probability and statistics

2: Random Measures and Point Processes
2.1 Basic definitions
2.2 Palm distributions
2.3 Poisson process
2.4 Finite point processes
2.5 Stationary random measures on Rd
2.6 Application of point processes in epidemiology
2.7 Weighted random measures, marked point processes
2.8 Stationary processes of particles2.9 Flat processes

3: Random Fibre And Surface Systems
3.1 Geometric models
3.2 Intensity estimators
3.3 Projection measure estimation
3.4 Best unbiased estimators of intensity

4: Vertical Sampling Schemes
4.1 Randomized sampling
4.2 Design-based approach

5: Fibre and Surface Anisotropy
5.1 Introduction
5.2 Analytical approach
5.3 Convex geometry approach
5.4 Orientation-dependent direction distribution

6: Particle Systems
6.1 Stereological unfolding
6.2 Bivariate unfolding
6.3 Trivariate unfolding
6.4 Stereology of extremes

References
Index