Stochastic Geometry, Spatial Statistics and Random Fields [electronic resource] : Asymptotic Methods / edited by Evgeny Spodarev.

Contributor(s): Spodarev, Evgeny [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics: 2068Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013Description: XXIV, 446 p. 105 illus., 27 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783642333057Subject(s): Mathematics | Convex geometry | Discrete geometry | Probabilities | Statistics | Mathematics | Convex and Discrete Geometry | Probability Theory and Stochastic Processes | Statistical Theory and MethodsAdditional physical formats: Printed edition:: No titleDDC classification: 516.1 LOC classification: QA639.5-640.7QA640.7-640.77Online resources: Texto completo
Contents:
1 Foundations of stochastic geometry and theory of random sets -- 2 Introduction into integral geometry and stereology -- 3 Spatial point patterns – models and statistics -- 4 Asymptotic methods in statistics of random point processes -- 5 Random tessellations and Cox processes -- 6 Asymptotic methods for random tessellations -- 7 Random polytopes -- 8 Limit theorems in discrete stochastic geometry -- 9 Introduction to random fields -- 10 Central limit theorems for weakly dependent random fields -- 11 Strong limit theorems for increments of random fields -- 12 Geometry of large random trees: SPDE approximation.
In: Springer eBooksSummary: This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures (point processes, sets, graphs, fields) with applications to statistics. Written as a contributed volume of lecture notes, it will be useful not only for students but also for lecturers and researchers interested in geometric probability and related subjects.
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Springer (Colección 2013) Springer (Colección 2013) BIBLIOTECA GENERAL
Matemáticas y Estadística Matemáticas y Estadística (Browse shelf) Available
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1 Foundations of stochastic geometry and theory of random sets -- 2 Introduction into integral geometry and stereology -- 3 Spatial point patterns – models and statistics -- 4 Asymptotic methods in statistics of random point processes -- 5 Random tessellations and Cox processes -- 6 Asymptotic methods for random tessellations -- 7 Random polytopes -- 8 Limit theorems in discrete stochastic geometry -- 9 Introduction to random fields -- 10 Central limit theorems for weakly dependent random fields -- 11 Strong limit theorems for increments of random fields -- 12 Geometry of large random trees: SPDE approximation.

This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures (point processes, sets, graphs, fields) with applications to statistics. Written as a contributed volume of lecture notes, it will be useful not only for students but also for lecturers and researchers interested in geometric probability and related subjects.

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