Theory of Random Sets

Häftad, Engelska, 2018

Av Ilya Molchanov

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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

Utgivningsdatum2018-09-09
Mått155 x 235 x 35 mm
Vikt1 183 g
FormatHäftad
SpråkEngelska
SerieProbability Theory and Stochastic Modelling
Antal sidor678
Upplaga2
FörlagSpringer London Ltd
ISBN9781447174073
OriginaltitelTheory of Random Sets

Tillhör följande kategorier

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.

“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)