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Stochastic Geometry, Spatial Statistics and Random Fields: Asymptotic Methods de Evgeny Spodarev

Stochastic Geometry, Spatial Statistics and Random Fields: Asymptotic Methods: Lecture Notes in Mathematics, cartea 2068

Editat de Evgeny Spodarev
en Limba Engleză Paperback – 7 feb 2013
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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Specificații

ISBN-13: 9783642333040
ISBN-10: 3642333044
Pagini: 472
Ilustrații: XXIV, 446 p. 105 illus., 27 illus. in color.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.68 kg
Ediția:2013
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Comprises introductory material as well as advances topics with a significant number of proofs Numerous images ease the understanding of complex mathematical notions Includes a large number of excercises for active reading Provides vast research bibliography Includes supplementary material: sn.pub/extras