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Limit Theorems For Unions Of Random Closed Sets
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Limit Theorems For Unions Of Random Closed Sets - neues Buch

ISBN: 9783540573937

ID: 9814542

The book concerns limit theorems and laws of large numbers for scaled unionsof independent identically distributed random sets. These results generalizewell-known facts from the theory of extreme values. Limiting distributions (called union-stable) are characterized and found explicitly for many examples of random closed sets. The speed of convergence in the limit theorems for unions is. The book concerns limit theorems and laws of large numbers for scaled unionsof independent identically distributed random sets. These results generalizewell-known facts from the theory of extreme values. Limiting distributions (called union-stable) are characterized and found explicitly for many examples of random closed sets. The speed of convergence in the limit theorems for unions is estimated by means of the probability metrics method. It includes the evaluation of distances between distributions of random sets constructed similarly to the well-known distances between distributions of random variables. The techniques include regularly varying functions, topological properties of the space of closed sets, Choquet capacities, convex analysis and multivalued functions. Moreover, the concept of regular variation is elaborated for multivalued (set-valued) functions. Applications of the limit theorems to simulation of random sets, statistical tests, polygonal approximations of compacts, limit theorems for pointwise maxima of random functions are considered. Several open problems are mentioned. Addressed primarily to researchers in the theory of random sets, stochastic geometry and extreme value theory, the book will also be of interest to applied mathematicians working on applications of extremal processes and their spatial counterparts. The book is self-contained, and no familiarity with the theory of random sets is assumed. Books, Science and Geography~~Mathematics~~Mathematical Foundations, Limit Theorems For Unions Of Random Closed Sets~~Book~~9783540573937~~Ilya S. Molchanov, , , , , , , , , ,, [PU: Springer, Berlin/Heidelberg]

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Limit Theorems for Unions of Random Closed Sets (Paperback) - Ilya S. Molchanov
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Limit Theorems for Unions of Random Closed Sets (Paperback) - Taschenbuch

1993, ISBN: 3540573933

ID: 14610299757

[EAN: 9783540573937], New book, [SC: 2.2], [PU: Springer-Verlag Berlin and Heidelberg GmbH Co. KG, Germany], Language: English . Brand New Book ***** Print on Demand *****.The book concerns limit theorems and laws of large numbers for scaled unionsof independent identically distributed random sets. These results generalizewell-known facts from the theory of extreme values. Limiting distributions (called union-stable) are characterized and found explicitly for many examples of random closed sets. The speed of convergence in the limit theorems for unions is estimated by means of the probability metrics method.It includes the evaluation of distances between distributions of random sets constructed similarly to the well-known distances between distributions of random variables. The techniques include regularly varying functions, topological properties of the space of closed sets, Choquet capacities, convex analysis and multivalued functions. Moreover, the concept of regular variation is elaborated for multivalued (set-valued) functions. Applications of the limit theorems to simulation of random sets, statistical tests, polygonal approximations of compacts, limit theorems for pointwise maxima of random functions are considered. Several open problems are mentioned. Addressed primarily to researchers in the theory of random sets, stochastic geometry and extreme value theory, the book will also be of interest to applied mathematicians working on applications of extremal processes and their spatial counterparts. The book is self-contained, and no familiarity with the theory of random sets is assumed.

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Limit Theorems for Unions of Random Closed Sets - Ilya S. Molchanov
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Ilya S. Molchanov:
Limit Theorems for Unions of Random Closed Sets - Taschenbuch

ISBN: 9783540573937

ID: 594301150

Springer. Paperback. New. Paperback. 158 pages. Dimensions: 9.1in. x 6.1in. x 0.6in.The book concerns limit theorems and laws of large numbers for scaled unionsof independent identically distributed random sets. These results generalizewell-known facts from the theory of extreme values. Limiting distributions (called union-stable) are characterized and found explicitly for many examples of random closed sets. The speed of convergence in the limit theorems for unions is estimated by means of the probability metrics method. It includes the evaluation of distances between distributions of random sets constructed similarly to the well-known distances between distributions of random variables. The techniques include regularly varying functions, topological properties of the space of closed sets, Choquet capacities, convex analysis and multivalued functions. Moreover, the concept of regular variation is elaborated for multivalued (set-valued) functions. Applications of the limit theorems to simulation of random sets, statistical tests, polygonal approximations of compacts, limit theorems for pointwise maxima of random functions are considered. Several open problems are mentioned. Addressed primarily to researchers in the theory of random sets, stochastic geometry and extreme value theory, the book will also be of interest to applied mathematicians working on applications of extremal processes and their spatial counterparts. The book is self-contained, and no familiarity with the theory of random sets is assumed. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN., Springer

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Limit Theorems for Unions of Random Closed Sets - Molchanov, Ilya S.
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Molchanov, Ilya S.:
Limit Theorems for Unions of Random Closed Sets - Taschenbuch

2008, ISBN: 9783540573937

[ED: Softcover], [PU: Springer, Berlin], The book concerns limit theorems and laws of large numbersfor scaled unionsof independent identically distributedrandom sets. These results generalizewell-known facts fromthe theory of extreme values. Limiting distributions (calledunion-stable) are characterized and found explicitly formany examples of random closed sets. The speed ofconvergence in the limit theorems for unions is estimated bymeans of the probability metrics method.It includes theevaluation of distances between distributions of randomsets constructed similarly to the well-known distancesbetween distributions of random variables. The techniquesinclude regularly varying functions, topological propertiesof the space of closed sets, Choquet capacities, convexanalysis and multivalued functions.Moreover, the concept of regular variation is elaborated formultivalued (set-valued) functions. Applications of thelimit theorems to simulation of random sets, statisticaltests, polygonal approximations of compacts, limit theoremsfor pointwise maxima of random functions are considered.Several open problems are mentioned.Addressed primarily to researchers in the theory of randomsets, stochastic geometry and extreme value theory, the bookwill also be of interest to applied mathematicians workingon applications of extremal processes and their spatialcounterparts. The book is self-contained, and no familiaritywith the theory of random sets is assumed.2008. x, 158 S. X, 158 p. 235 mmVersandfertig in 3-5 Tagen, [SC: 0.00]

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Limit Theorems for Unions of Random Closed Sets 1st Edition - Ilya S. Molchanov
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ISBN: 3540573933

ID: 3540573933

Limit Theorems for Unions of Random Closed Sets 1st Edition Author :Ilya S. Molchanov 9783540573937 3540573933, [PU: Springer, Berlin/Heidelberg]

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Details zum Buch
Limit Theorems for Unions of Random Closed Sets
Autor:

Molchanov, Ilya S.

Titel:

Limit Theorems for Unions of Random Closed Sets

ISBN-Nummer:

3540573933

The book concerns limit theorems and laws of large numbersfor scaled unionsof independent identically distributedrandom sets. These results generalizewell-known facts fromthe theory of extreme values. Limiting distributions (calledunion-stable) are characterized and found explicitly formany examples of random closed sets. The speed ofconvergence in the limit theorems for unions is estimated bymeans of the probability metrics method.It includes theevaluation of distances between distributions of randomsets constructed similarly to the well-known distancesbetween distributions of random variables. The techniquesinclude regularly varying functions, topological propertiesof the space of closed sets, Choquet capacities, convexanalysis and multivalued functions.Moreover, the concept of regular variation is elaborated formultivalued (set-valued) functions. Applications of thelimit theorems to simulation of random sets, statisticaltests, polygonal approximations of compacts, limit theoremsfor pointwise maxima of random functions are considered.Several open problems are mentioned.Addressed primarily to researchers in the theory of randomsets, stochastic geometry and extreme value theory, the bookwill also be of interest to applied mathematicians workingon applications of extremal processes and their spatialcounterparts. The book is self-contained, and no familiaritywith the theory of random sets is assumed.

Detailangaben zum Buch - Limit Theorems for Unions of Random Closed Sets


EAN (ISBN-13): 9783540573937
ISBN (ISBN-10): 3540573933
Taschenbuch
Erscheinungsjahr: 1993
Herausgeber: Springer-Verlag GmbH
168 Seiten
Gewicht: 0,264 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 05.06.2007 13:56:39
Buch zuletzt gefunden am 21.09.2016 22:21:47
ISBN/EAN: 3540573933

ISBN - alternative Schreibweisen:
3-540-57393-3, 978-3-540-57393-7

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