Ilya Molchanov is Professor of Probability Theory at the Department of Mathematical Statistics and Actuarial Science at the University of Bern, Switzerland.

“A strong feature of the first edition that is further strengthened in the second one is the ‘Notes’ concluding each chapter. These remarks and discussions not only provide a comprehensive literature review on the historical origins of the material covered in each section, but also point to a variety of recent research papers, where those concepts are applied.” (Christian Hirsch, Mathematical Reviews, August, 2018)​

• 1 Random Closed Sets and Capacity Functionals.- 2 Expectations of Random Sets.- 3 Minkowski Sums.- 4 Unions of Random Sets.- 5 Random Sets and Random Functions.- A Topological spaces and metric spaces.- B Linear spaces.- C Space of closed sets.- D Compact sets and the Hausdorff metric.- E Multifunctions and semicontinuity.- F Measures and probabilities.- G Capacities.- H Convex sets.- I Semigroups, cones, and harmonic analysis.- J Regular variation.- References.

Ilya Molchanov is Professor of Probability Theory at the Department of Mathematical Statistics and Actuarial Science at the University of Bern, Switzerland.

“A strong feature of the first edition that is further strengthened in the second one is the ‘Notes’ concluding each chapter. These remarks and discussions not only provide a comprehensive literature review on the historical origins of the material covered in each section, but also point to a variety of recent research papers, where those concepts are applied.” (Christian Hirsch, Mathematical Reviews, August, 2018)​

• 1 Random Closed Sets and Capacity Functionals.- 2 Expectations of Random Sets.- 3 Minkowski Sums.- 4 Unions of Random Sets.- 5 Random Sets and Random Functions.- A Topological spaces and metric spaces.- B Linear spaces.- C Space of closed sets.- D Compact sets and the Hausdorff metric.- E Multifunctions and semicontinuity.- F Measures and probabilities.- G Capacities.- H Convex sets.- I Semigroups, cones, and harmonic analysis.- J Regular variation.- References.