Theory of Random Sets

Stochastic geometry is a relatively new branch of mathematics. Although its predecessors such as geometric probability date back to the 18th century, the formal concept of a random set was developed in the beginning of the 1970s. Theory of Random Sets presents a state of the art treatment of the mod...

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Bibliografiset tiedot
Päätekijä: Molchanov, Ilya S., 1962-
Aineistotyyppi: Livre numérique
Kieli:Anglais
Julkaistu: London : Springer London : Springer e-books [20..].
Cham : Springer Nature
Sarja:Probability and Its Applications
Linkit:Accès sur la plateforme de l'éditeur
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Huomautus: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Theory of random sets, Ilya Molchanov, 2005, New York, Springer, 1 vol. (XVI-488 p.), Probability and its applications
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100 1 |a Molchanov, Ilya S.,  |d 1962- 
245 1 0 |a Theory of Random Sets   |c by Ilya Molchanov. 
260 |a London :  |b Springer London :  |b Springer e-books. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 0 |a Probability and Its Applications  |x 1431-7028 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
505 1 |a Random Closed Sets and Capacity Functionals Expectations of Random Sets Minkowski Addition Unions of Random Sets Random Sets and Random Functions. Appendices: Topological Spaces Linear Spaces Space of Closed Sets Compact Sets and the Hausdorff Metric Multifunctions and Continuity Measures and Probabilities Capacities Convex Sets Semigroups and Harmonic Analysis Regular Variation. References List of Notation Name Index Subject Index 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a Stochastic geometry is a relatively new branch of mathematics. Although its predecessors such as geometric probability date back to the 18th century, the formal concept of a random set was developed in the beginning of the 1970s. Theory of Random Sets presents a state of the art treatment of the modern theory, but it does not neglect to recall and build on the foundations laid by Matheron and others, including the vast advances in stochastic geometry, probability theory, set-valued analysis, and statistical inference of the 1990s. The book is entirely self-contained, systematic and exhaustive, with the full proofs that are necessary to gain insight. 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 are often varying in the current literature to establish it as a natural part of modern probability theory, and to provide a platform for future development. An extensive, searchable bibliography to accompany the book is freely available via the web. The book will be an invaluable reference for probabilists, mathematicians in convex and integral geometry, set-valued analysis, capacity and potential theory, mathematical statisticians in spatial statistics and image analysis, specialists in mathematical economics, and electronic and electrical engineers interested in image analysis 
776 0 |0 087730502  |t Theory of random sets  |f Ilya Molchanov  |d 2005  |c New York  |n Springer  |p 1 vol. (XVI-488 p.)  |s Probability and its applications 
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