Theory of Random Sets

AvIlya Molchanov

Inbunden, Engelska, 2017

Del i serien Probability Theory and Stochastic Modelling

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Beskrivning

It shows the various interdisciplinary relationships of random set theory within other parts of mathematics, and at the same time fixes terminology and notation that often vary in the literature, establishing it as a natural part of modern probability theory and providing a platform for future development.

Produktinformation

Utgivningsdatum:2017-12-29
Mått:155 x 235 x 38 mm
Vikt:1 312 g
Format:Inbunden
Språk:Engelska
Serie:Probability Theory and Stochastic Modelling
Antal sidor:678
Upplaga:2
Förlag:Springer London Ltd
ISBN:9781447173472
Originaltitel:Theory of Random Sets

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Mer om författaren

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

Recensioner i media

“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)

Innehållsförteckning

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.